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Newly added pages can be seen from this page. Keep visiting to this page so that you will remain updated.en-usMathSun, 5 Apr 2020 15:12:16 -0400Sun, 5 Apr 2020 15:12:16 -0400math-only-math.comApr 5, Coin Toss Probability Worksheet | Free Probability Worksheets |Answers
https://www.math-only-math.com/coin-toss-probability-worksheet.html198663a1234f95be9c9dd4b3808af1d7Practice different types of coin toss questions like tossing a coin, tossing two coins simultaneously and tossing three coins simultaneously in coin toss probability worksheet. 1. If a coin is tossed 500 times and the tail appears 159 times, find the probability of getting aSun, 5 Apr 2020 15:12:08 -0400Apr 4, Worksheet on Probability | Probability Questions| Practice Probability
https://www.math-only-math.com/worksheet-on-probability.htmla4a8017a38b5b87f551935c42c362814In math worksheet on probability we will solve various types of practice probability questions to find the probability of occurrence of an event. 1. What is the probability of occurrence of an event? 2. A coin is tossed 125 times and head is obtained 64 times. Now, if a coinSat, 4 Apr 2020 15:27:15 -0400Apr 4, Probability Questions Answers | Probability Examples | Step-by-Step
https://www.math-only-math.com/probability-questions-answers.htmlcd7ec03f47bfecdcfa46320c0ef92c3eWorked-out probability questions answers are given here step-by-step to get the clear explanation to the student. 1. Out of 300 students in a school, 95 play cricket only, 120 play football only, 80 play volleyball only and 5 play no games. If one student is chosen at Sat, 4 Apr 2020 14:30:01 -0400Apr 4, Solved Probability Problems | Probability Problems with Solutions
https://www.math-only-math.com/solved-probability-problems.html3276097f3f293785402db2d7ee84c6c2Solved probability problems and solutions are given here for a concept with clear understanding. Students can get a fair idea on the probability questions which are provided with the detailed step-by-step answers to every question. Solved probability problems with solutionsSat, 4 Apr 2020 10:58:32 -0400Apr 3, Probability for Rolling Two Dice | Sample Space for Two Dice |Examples
https://www.math-only-math.com/probability-for-rolling-two-dice.html152f754e4d6f425a3e800f57104e3cf9Probability for rolling two dice with the six sided dots such as 1, 2, 3, 4, 5 and 6 dots in each die. When two dice are thrown simultaneously, thus number of event can be 6^2 = 36 because each die has 1 to 6 number on its faces. Then the possible outcomes are shown in theFri, 3 Apr 2020 09:52:53 -0400Apr 2, Playing Cards Probability | Basic Concept on Drawing a Card | Problems
https://www.math-only-math.com/playing-cards-probability.html0e2abfb11dfb97853aa453e484df5c6cPlaying cards probability problems based on a well-shuffled deck of 52 cards. Basic concept on drawing a card: In a pack or deck of 52 playing cards, they are divided into 4 suits of 13 cards each i.e. spades ♠ hearts ♥, diamonds ♦, clubs ♣. Cards of Spades and clubs areThu, 2 Apr 2020 15:15:40 -0400Apr 2, Coin Toss Probability | Problems on Coin Toss | Outcomes in an Event
https://www.math-only-math.com/coin-toss-probability.html2acfe296f951766480c879944c5ff04bProblems on coin toss probability are explained here with different examples. When we flip a coin there is always a probability to get a head or a tail is 50 percent. Suppose a coin tossed then we get two possible outcomes either a ‘head’ (H) or a ‘tail’ (T), and it isThu, 2 Apr 2020 10:16:14 -0400Apr 2, Events in Probability |Mutually Exclusive,Impossible,Identical,Certain
https://www.math-only-math.com/events-in-probability.html0d4d0dcad0cb85f2ddbced09737a49bdThe outcomes of a random experiment are called events connected with the experiment. For example; ‘head’ and ‘tail’ are the outcomes of the random experiment of throwing a coin and hence are events connected with it. Now we can distinguish between two types of events.Thu, 2 Apr 2020 09:47:48 -0400Mar 30, Theoretical Probability |Classical or A Priori Probability |Definition
https://www.math-only-math.com/theoretical-probability.html2b2213dcaf822e8efc5f118f932967beMoving forward to the theoretical probability which is also known as classical probability or priori probability we will first discuss about collecting all possible outcomes and equally likely outcome. When an experiment is done at random we can collect all possible outcomesMon, 30 Mar 2020 16:08:19 -0400Mar 30, Circumcircle of a Triangle | Circumcentre of the Triangle | Diagram
https://www.math-only-math.com/circumcircle-of-a-triangle.html0cd499a4690e9fea5b6ac5cc0bb5a9bcWe will discuss here the Circumcircle of a Triangle and the circumcentre of a triangle. A tangent that passes through the three vertices of a triangle is known as the circumcircle of the triangle. When the vertices of a triangle lie on a circle, the sides of the triangleMon, 30 Mar 2020 08:45:15 -0400Mar 29, Examples of Loci Based on Circles Touching Straight Lines | Diagram
https://www.math-only-math.com/examples-of-loci-based-on-circles-touching-straight-lines.html6892c63963b62f93985e5452505afab1We will discuss here some Examples of Loci Based on Circles Touching Straight Lines or Other Circles. 1. The locus of the centres of circles touching a given line XY at a point M, is the straight line perpendicular to XY at M. Here, PQ is the required locus. 2. The locus ofSun, 29 Mar 2020 14:55:35 -0400Mar 28, Probability of Rolling a Die | Dice Roll Probability |Dice Probability
https://www.math-only-math.com/probability-of-rolling-a-die.htmlab761d125a8993707a722784efbd06aaWe will solve different type of problems on probability of rolling a die. A die is thrown 200 times and the numbers shown on it are recorded as given below: If the die is thrown at random, what is the probability of getting a (i) 4 (ii) 4 or 5 (iii) Prime number Solution:Sat, 28 Mar 2020 08:48:02 -0400Mar 27, Probability |Terms Related to Probability|Tossing a Coin|Coin Probabil
https://www.math-only-math.com/probability.html2e8db4130a3b92ff3ebb48f91a12624dProbability in everyday life, we come across statements such as: Most probably it will rain today. Chances are high that the prices of petrol will go up. I doubt that he will win the race. The words ‘most probably’, ‘chances’, ‘doubt’ etc., show the probability of occurrenceFri, 27 Mar 2020 17:03:52 -0400Mar 27, Probability of Tossing Three Coins | Tossing or Flipping Three Coins
https://www.math-only-math.com/probability-of-tossing-three-coins.htmlb87e28de43127e07a53384e6d6c9e0b3Here we will learn how to find the probability of tossing three coins. Let us take the experiment of tossing three coins simultaneously: When we toss three coins simultaneously then the possibleFri, 27 Mar 2020 14:53:20 -0400Mar 25, Empirical Probability | Experiment of Rolling a Die| Tossing Two Coins
https://www.math-only-math.com/empirical-probability.html2a10b0d33b42ebd15a687eb11ad48856Definition of Empirical Probability: The experimental probability of occurring of an event is the ratio of the number of trials in which the event occurred to the total number of trials. The empirical probability of the occurrence of an event E is defined asWed, 25 Mar 2020 16:49:05 -0400Mar 24, Definition of Probability | Terms Related to Probability | Experiment
https://www.math-only-math.com/definition-of-probability.html118531d7f70e3ae5d0f03c2f41e397bfWe will discuss here about the definition of probability, terms related to probability, experiment, random experiment and trial. Introduction We often hear sentences like “it will possibly rain today”, “most probably the train will be late”, “most likely Robert will not comeTue, 24 Mar 2020 15:57:29 -0400Mar 23, Application Problems on Area of a Circle | Shaded Region of a Circle
https://www.math-only-math.com/application-problems-on-area-of-a-circle.html556692b87a0721ed3bd588ce820b540cWe will discuss here about the Application problems on Area of a circle. 1. The minute hand of a clock is 7 cm long. Find the area traced out by the minute hand of the clock between 4.15 PM to 4.35 PM on a day. Solution: The angle through which the minute hand rotates in 20Mon, 23 Mar 2020 10:14:02 -0400Mar 21, Important Properties of Transverse Common Tangents |Proof with Diagram
https://www.math-only-math.com/important-properties-of-transverse-common-tangents.htmlccfb0aae594725c1c74cffc665242efbWe will discuss about the important properties of transverse common tangents. I. The two transverse common tangents drawn to two circles are equal in length. Given: WX and YZ are two transverse common tangents drawn to the two given circles with centres O and P. WX and YZSat, 21 Mar 2020 02:20:49 -0400Mar 20, Find the Area of the Shaded Region | The Area of a Composite Figure
https://www.math-only-math.com/find-the-area-of-the-shaded-region.html7fe653b2acddefa45384cf22c940793cHere we will learn how to find the area of the shaded region. To find the area of the shaded region of a combined geometrical shape, subtract the area of the smaller geometrical shape from the area of the larger geometrical shape. 1.A regular hexagon is inscribed in a circleFri, 20 Mar 2020 15:47:11 -0400Mar 19, Area of the Shaded Region | Shaded Areas | Area of Combined Figures
https://www.math-only-math.com/area-of-the-shaded-region.htmlaf376e215c149c6f140b454e22300cadWe will learn how to find the Area of the shaded region of combined figures. To find the area of the shaded region of a combined geometrical shape, subtract the area of the smaller geometrical shape from the area of the larger geometrical shape. Solved Examples on Area of Thu, 19 Mar 2020 16:11:16 -0400Mar 18, Area of Combined Figures | Area of Composite Shapes | Irregular Shapes
https://www.math-only-math.com/area-of-combined-figures.html9f58426cfb61ac6528290da81891ddceA combined figure is a geometrical shape that is the combination of many simple geometrical shapes. To find the area of combined figures we will follow the steps: Step I: First we divide the combined figure into its simple geometrical shapes. Step II:Then calculate theWed, 18 Mar 2020 17:03:27 -0400Mar 17, Area and Perimeter of a Semicircle and Quadrant of a Circle | Examples
https://www.math-only-math.com/area-and-perimeter-of-a-semicircle-and-quadrant-of-a-circle.html19d645234babe72f0783b83cc1345a23We will learn how to find the Area and perimeter of a semicircle and Quadrant of a circle. Area of a semicircle = 1/2 ∙ πr^2 Perimeter of a semicircle = (π + 2)r. because a semicircle is a sector of sectorial angle 180°. Area of a quadrant of a circle = 1/4 ∙ πr^2.Tue, 17 Mar 2020 10:26:50 -0400Mar 16, 10th Grade Math | Tenth Grade Math Lessons Plan | Practice Problems
https://www.math-only-math.com/10th-grade-math.html13dacf393b081b0c878e4e8a45578b5610th grade math topics are planned and covered all the lessons in different segments. 10th grade math help is provided for the 10th grade students in all segments to cover all the math lesson plans which are categorized into Arithmetic, Algebra, Geometry, Mensuration andMon, 16 Mar 2020 15:27:58 -0400Mar 16, Area and Perimeter of a Sector of a Circle |Area of Sector of a Circle
https://www.math-only-math.com/area-and-perimeter-of-a-sector-of-a-circle.htmldf7892a1b008e5a1338cb035e1026942We will discuss the Area and perimeter of a sector of a circle. Problems on Area and perimeter of a sector of a circle 1. A plot of land is in the shape of a sector of a circle of radius 28 m. If the sectorial angle (central angle) is 60°, find the area and the perimeterMon, 16 Mar 2020 14:39:22 -0400Mar 15, Area and Perimeter of a Circle | Solved Examples | Diagram
https://www.math-only-math.com/area-and-perimeter-of-a-circle.html0c4ac18a98cebd5b2ac1991e3824b0a2We will discuss the Area and Perimeter of a Circle. The area (A) of a circle (or circular region) is given by A = πr^2 where r is the radius and, by definition, π = Circumference/Diameter = 22/7 (Approximately). The circumference (P) of a circle, or the perimeter of a circleSun, 15 Mar 2020 15:00:43 -0400Mar 13, Problems on Common Tangents to Two Circles | Transverse Common Tangent
https://www.math-only-math.com/problems-on-common-tangents-to-two-circles.html2c425f03f22567a6190fc6e7205cead9Here we will solve different types of problems on common tangents to two circles. 1.There are two circles touch each other externally. Radius of the first circle with centre O is 8 cm. Radius of the second circle with centre A is 4 cm Find the length of their common tangentFri, 13 Mar 2020 12:07:52 -0400Mar 11, Problems on Relation Between Tangent and Secant | Square of Tangent
https://www.math-only-math.com/problems-on-relation-between-tangent-and-secant.html262a6229ce60081f6256cb3ffed95fa9Here we will solve different types of Problems on relation between tangent and secant. 1. XP is a secant and PT is a tangent to a circle. If PT = 15 cm and XY = 8YP, find XP. Solution: XP = XY + YP = 8YP + YP = 9YP. Let YP = x. Then XP = 9x. Now, XP × YP = PT^2, as theWed, 11 Mar 2020 14:45:10 -0400Mar 11, Equilateral Triangle Inscribed | Sum of Three Angles of a Triangle
https://www.math-only-math.com/equilateral-triangle-inscribed.html16229b9291cd06b623b2fc4eb5ba881aWe will prove that, PQR is an equilateral triangle inscribed in a circle. The tangents at P, Q and R form the triangle P’Q’R’. Prove that P’Q’R’ is also an equilateral triangle. Solution: Given: PQR is an equilateral triangle inscribed in a circle whose centre is O.Wed, 11 Mar 2020 12:41:24 -0400Mar 8, Measure of the Angles of the Cyclic Quadrilateral | Proof with Diagram
https://www.math-only-math.com/measure-of-the-angles-of-the-cyclic-quadrilateral.htmle3f54dae140ff5001a685db7d83eff98We will prove that, in the figure ABCD is a cyclic quadrilateral and the tangent to the circle at A is the line XY. If ∠CAY : ∠CAX = 2 : 1 and AD bisects the angle CAX while AB bisects ∠CAY then find the measure of the angles of the cyclic quadrilateral. Also, prove that DBSun, 8 Mar 2020 11:15:44 -0400Mar 7, Tangent is Parallel to a Chord of a Circle | Extremities of the Chord
https://www.math-only-math.com/tangent-is-parallel-to-a-chord.html6ad570e46b83de142bc03ad891483122We will prove that, A tangent, DE, to a circle at A is parallel to a chord BC of the circle. Prove that A is equidistant from the extremities of the chord. Solution: Proof: Statement 1. ∠DAB = ∠ACB 2. ∠DAB = ∠ABC 3. ∠ACB = ∠ABCSat, 7 Mar 2020 15:07:09 -0500Mar 7, Online Math Quiz on Progressions | 10 Multiple Choice Questions | Ans
https://www.math-only-math.com/online-math-quiz-on-progressions.htmlf0b42fb004dfef31c08d3e2e3de54124In Online Math Quiz on Progressions we will complete 10 multiple choice questions on Progressions. If a, b, c, d ∈ N and they are four consecutive terms of an AP then the ath, bth, cth, dth terms of a GP are in (i) AP (ii) GP (iii) HP (iv) None of theseSat, 7 Mar 2020 13:30:20 -0500Mar 4, Contact of Two Circles | Point of Contact of Two Circles | Proof
https://www.math-only-math.com/contact-of-two-circles.html254a71defe3299bc4645a708f4a03c69Here we will prove that two circles with centres X and Y touch externally at T. A straight line is drawn through T to cut the circles at M and N. Proved that XM is parallel to YN. Solution: Given: Two circles with centres X and Y touch externally at T. A straight line isWed, 4 Mar 2020 16:37:38 -0500Mar 1, Two Parallel Tangents of a Circle Meet a Third Tangent | Proof
https://www.math-only-math.com/two-parallel-tangents-of-a-circle-meet-a-third-tangent.html67b8a80788ffb472d058790b172e1602Here we will prove that two parallel tangents of a circle meet a third tangent at points A and B. Prove that AB subtends a right angle at the centre. Solution: Given: CA, AB and EB are tangents to a circle with centre O. CA ∥ EB. To prove: ∠AOB = 90°. Proof: StatementSun, 1 Mar 2020 17:21:35 -0500Mar 1, Math Coloring Pages | Math Coloring Sheets |Free Coloring Pages |Enjoy
https://www.math-only-math.com/math-coloring-pages.htmle1fc28a4476ead950cd070e522bc1919Kids have fun while enjoying math coloring pages. Select your favorite math coloring pages and print out the coloring sheets you like best and let’s start coloring. You can make your coloring colorfulSun, 1 Mar 2020 16:35:45 -0500Feb 28, Two Tangents are Drawn to a Circle from an External Point | Proof
https://www.math-only-math.com/two-tangents-are-drawn-to-a-circle-from-an-external-point.html5d777bf88a7745977661635bae68d0b1We will prove that the tangents MX and MY are drawn to a circle with centre O from an external point M. Prove that ∠XMY = 2∠OXY. Solution: Proof: Statement 1. In ∆MXY, MX = MY. 2. ∠MXY = ∠MYX = x°. 3. ∠XMY = 180° - x°. 4. OX ⊥ XM, i.e., ∠OXM = 90°. 5. ∠OXY = 90° - ∠MXYFri, 28 Feb 2020 08:47:28 -0500Feb 27, Matrix | Definition of a Matrix | Examples of a Matrix | Elements
https://www.math-only-math.com/matrix.htmla2b51f377bcbdb7b2376b213a01fe23eA rectangular array of mn elements aij into m rows and n columns, where the elements aij belongs to field F, is said to be a matrix of order m × n (or an m × n matrix) over the field F. Definition of a Matrix: A matrix is a rectangular arrangement or array of numbersThu, 27 Feb 2020 11:25:56 -0500Feb 27, Solved Examples on the Basic Properties of Tangents | Tangent Circle
https://www.math-only-math.com/solved-examples-on-the-basic-properties-of-tangents.htmlc35d53b95455a8fe11cea9ea92a09693The solved examples on the basic properties of tangents will help us to understand how to solve different type problems on properties of triangle. 1. Two concentric circles have their centres at O. OM = 4 cm and ON = 5 cm. XY is a chord of the outer circle and a tangent toThu, 27 Feb 2020 10:40:21 -0500Feb 27, Problems on Two Tangents to a Circle from an External Point | Diagram
https://www.math-only-math.com/problems-on-two-tangents-to-a-circle-from-an-external-point.htmlf8de2273b018418ac8dfb47bec3332f1We will solve some Problems on two tangents to a circle from an external point. 1. If OX any OY are radii and PX and PY are tangents to the circle, assign a special name to the quadrilateral OXPY and justify your answer. Solution: OX = OY, are radii of a circle are equal.Thu, 27 Feb 2020 10:30:23 -0500Feb 25, Circumcentre and Incentre of a Triangle | Radius of Circumcircle
https://www.math-only-math.com/circumcentre-and-incentre-of-a-triangle.htmlfca92cab425e2deaf02f8ee1980e2d1dWe will discuss circumcentre and incentre of a triangle. In general, the incentre and the circumcentre of a triangle are two distinct points. Here in the triangle XYZ, the incentre is at P and the circumcentre is at O. A special case: an equilateral triangle, the bisectorTue, 25 Feb 2020 10:55:03 -0500Feb 24, Incircle of a Triangle |Incentre of the Triangle|Point of Intersection
https://www.math-only-math.com/incircle-of-a-triangle.htmle96af4918c5adbc5d3673503222c02c6We will discuss here the Incircle of a triangle and the incentre of the triangle. The circle that lies inside a triangle and touches all the three sides of the triangle is known as the incircle of the triangle. If all the three sides of a triangle touch a circle then theMon, 24 Feb 2020 08:54:52 -0500Feb 20, Transverse Common Tangents | Circles lie on Opposite Sides | Diagram
https://www.math-only-math.com/transverse-common-tangents.htmlb6892ab754c8ccefb391d39b44f39413A common tangent is called a transverse common tangent if the circles lie on opposite sides of it. In the figure, WX is a transverse common tangent as the circle with centre O lies below it and the circle with P lie above it. YZ is the other transverse common tangent as theThu, 20 Feb 2020 10:17:26 -0500Feb 18, Important Properties of Direct Common Tangents |Explained With Diagram
https://www.math-only-math.com/important-properties-of-direct-common-tangents.html45d873068395c0b69132c7c0403658efImportant Properties of Direct common tangents. The two direct common tangents drawn to two circles are equal in length. The point of intersection of the direct common tangents and the centres of the circles are collinear. The length of a direct common tangent to two circlesTue, 18 Feb 2020 13:18:26 -0500Feb 18, Direct Common Tangents | Common Tangent | Three Different Cases
https://www.math-only-math.com/direct-common-tangents.html990a37bbacd63ba35b94914bbf4e8643A common tangent is called a direct common tangent if both the circles lie on the same side of it. The figures given below shows common tangents in three different cases, that is when the circles are apart, as in (i); when they are touching each other as in (ii); and whenTue, 18 Feb 2020 10:07:32 -0500Feb 18, Chord and Tangent Intersect Externally | The Length of the Tangent
https://www.math-only-math.com/chord-and-tangent-intersect-externally.htmla907ba3f0f6413f134a525600e4de41aHere we will prove that if a chord and a tangent intersect externally then the product of the lengths of the segments of the chord is equal to the square of the length of the tangent from the point of contact to the point of intersection. Given: XY is a chord of a circle andTue, 18 Feb 2020 07:23:32 -0500Feb 18, Problems on Properties of Tangents | Tangents of Circles and Angles
https://www.math-only-math.com/problems-on-properties-of-tangents.html9f5ec777e76acc1659b154d61fd799b7Here we will solve different types of Problems on properties of tangents. 1. A tangent, PQ, to a circle touches it at Y. XY is a chord such that ∠XYQ = 65°. Find ∠XOY, where O is the centre of the circle. Solution: Let Z be any point on the circumference in the segmentTue, 18 Feb 2020 07:15:14 -0500Feb 18, Angles between the Tangent and the Chord | A Line Touches a Circle
https://www.math-only-math.com/angles-between-the-tangent-and-the-chord.html40d0377c13fb2302c01739ad990f8aa0Here we will prove that if a line touches a circle and from the point of contact a chord is down, the angles between the tangent and the chord are respectively equal to the angles in the corresponding alternate segments. Given: A circle with centre O. Tangent XY touchesTue, 18 Feb 2020 06:43:46 -0500Feb 17, Two Tangents from an External Point | Two Tangents are equal in Length
https://www.math-only-math.com/two-tangents-from-an-external-point.htmla632320189cd9cc6378a270ab09f1f1fHere we will prove that from any point outside a circle two tangents can be drawn to it and they are equal in length. Given: O is the centre of a circle and T is a point outside the circle. Construction: Join O and T. Draw a circle with TO as diameter which cuts the givenMon, 17 Feb 2020 13:56:30 -0500Feb 17, Secant and Tangent | Properties of Tangents | Definition & Properties
https://www.math-only-math.com/secant-and-tangent.html73c710ce2df42113dc3981836e6919e8Here we will learn about Secant and Tangent. Let a circle with centre O and a straight line AB be drawn on the same plane. Then only one of the following cases is possible: (i) The straight line AB does not touch or cut the circle at any point. (ii) The straight line AB cutsMon, 17 Feb 2020 13:04:20 -0500Feb 13, Two Circles Touch each Other | Common Tangent | Tangent of a Circle
https://www.math-only-math.com/two-circles-touch-each-other.html94a25b55118a3c5ab011460207e35241Here we will prove that if two circles touch each other, the point of contact lies on the straight line joining their centres. Case 1: When the two circles touch each other externally. Given: Two circles with centres O and P touch each other externally at T. To prove:Thu, 13 Feb 2020 15:46:31 -0500Feb 3, Tangent - Perpendicular to Radius | The tangent at any point of a ....
https://www.math-only-math.com/tangent-perpendicular-to-radius.htmlf5cc2d3c8c30cdcb525da31a525569abHere we will prove that the tangent at any point of a circle and the radius through the point are perpendicular to each other. Given: A circle with centre O in which OP is a radius. XPY is a tangent drawn to the circle at the point P. To prove: OP ⊥ XY. Construction: On XYMon, 3 Feb 2020 13:08:33 -0500Feb 2, Common Tangents to Two Circles | Transverse Common Tangents
https://www.math-only-math.com/common-tangents-to-two-circles.htmldaccdaf734bb41d894feeedf7e512791We will discuss here about common tangents to two circles. 1. If one circle line completely inside another circle without cutting or touching it at any point then the circles will have no common tangent. 2. If two circles touch each other internally at one point, they willSun, 2 Feb 2020 13:47:13 -0500Jan 26, Compound Interest Definition | Some Basic Terms |Principal, Time, Rate
https://www.math-only-math.com/compound-interest-definition.html73e57ae1de2e57f2542efa82a8969680Principal: The money lent by the lender (or received by the borrower) is the principal. It is denoted by P. Time: The duration for which money is lent (or borrowed) is the time. It is denoted by T (or t). Interest: The difference of the money paid back and the money borrowerSun, 26 Jan 2020 12:24:15 -0500Jan 20, Worksheet on Matrix | Solving Matrix Equations Worksheet | Answers
https://www.math-only-math.com/worksheet-on-matrix.htmlc892d4910b4d19c58e779f978a1810e3In Worksheet on matrix the questions are based on finding unknown elements and matrices from matrix equation. (i) Find the matrix C(B – A). (ii) Find A(B + C). (iii) Prove that A(B + C) = AB + AC. 2. Show that 6X – X^2 = 9I, where I is the unit matrix.Mon, 20 Jan 2020 14:09:22 -0500Jan 19, Worksheet on Matrix Multiplication |Multiplication of Matrices|Answers
https://www.math-only-math.com/worksheet-on-matrix-multiplication.html98859890a8336114acc7ad60337a8529Practice the questions given in the Worksheet on Matrix Multiplication. (i) Find AB and BA if possible. (ii) Verify if AB = BA. (iii) Find A^2. (iv) Find AB^2.Sun, 19 Jan 2020 14:18:12 -0500Jan 16, Problems on Classification of Matrices | Construct a Null Matrix
https://www.math-only-math.com/problems-on-classification-of-matrices.html98ba37058a7a3a0c288c58ba04c9c45aHere we will solve different types of Problems on classification of matrices. Indicate the class of each of the matrices. Construct a null matrix of the order 2 × 3 and a unit matrix of the order 3 × 3. Solution: A null matrix of the order 2 × 3 is Thu, 16 Jan 2020 12:55:47 -0500Jan 15, Multiplication of Matrices | How to Multiply Matrices? |Rules|Examples
https://www.math-only-math.com/multiplication-of-matrices.html5ab21c7a924bc72b1dd4670be98eec63Two matrices A and B are said to be conformable for the product AB if the number of columns of A be equal to the number of rows of B. If A be an m × n matrix and B an n × p matrix then their product AB is defined to be the m × p matrix whose (ij)th element is obtained byWed, 15 Jan 2020 13:14:14 -0500Jan 15, Worksheet on Understanding Matrix | Possible Orders of the Matrix
https://www.math-only-math.com/worksheet-on-understanding-matrix.htmlb6f66a715f197bf1e3c7be7edf4e5b8fPractice the questions given in the Worksheet on understanding matrix. (i) What is the order of the matrix A? (ii) Find the (2, 1)th, (1, 2)th and (3, 2)th elements. (iii) Is it a rectangular matrix or a square matrix? 2. (i) A matrix has 4 elements. Write the possible orderWed, 15 Jan 2020 08:55:56 -0500Jan 13, Problems on Matrix Multiplication | Multiply Two Matrices
https://www.math-only-math.com/problems-on-matrix-multiplication.htmle38801bcc6526676dc0178229baf8eb2Here we will solve different types of Problems on Matrix Multiplication.write down the matrix AB. Would it be possible to find the product of BA? If so, compute it, and if not, give reasons.Mon, 13 Jan 2020 13:37:48 -0500Jan 8, Problems on Understanding Matrices | Order of a Matrix | Position of
https://www.math-only-math.com/problems-on-understanding-matrices.html0d5bb70879960380432d8677d25e6948Here we will solve different types of Problems on understanding matrices. (i) What is the order of the matrix A? (ii) Find (2, 1)th and (1, 2)th elements. Solution: (i) The order is 2 × 2 because there are 2 rows and 2 columns in the matrix (ii) (2, 1)th element = the numberWed, 8 Jan 2020 10:32:42 -0500Jan 7, Subtraction of Two Matrices | Matrix Subtraction | Subtract Matrices
https://www.math-only-math.com/subtraction-of-two-matrices.html0f383678ab617c720dd3181e2560b542We will learn how to find the subtraction of two matrices. If A and B two matrices of the same order then A – B is a matrix which is the addition of A and –B. The elements of A – B can also be obtained by subtracting the elements of B from the corresponding elements of A.Tue, 7 Jan 2020 13:31:01 -0500Jan 6, Negative of a Matrix | Solved Examples on Negative of a Matrix
https://www.math-only-math.com/negative-of-a-matrix.htmlf48c964c3e2bc2275ad677c2e6a9863bWe will discuss about Negative of a Matrix. The negative of the matrix A is the matrix (-1)A, written as – A. Clearly, the negative matrix is obtained by changing the signs of each element. Solved examples on Negative of a Matrix:Mon, 6 Jan 2020 13:39:48 -0500Jan 3, Multiplication of Two Matrices | Finding the Product of Two Matrices
https://www.math-only-math.com/multiplication-of-two-matrices.html9ef1c8f576d522cd776dd18593bc1ebeHere we will learn the process of Multiplication of two matrices. Two matrices A and B are conformable (compatible) for multiplication (i) AB if the number of columns in A = the number of rows in B (ii) BA if the number of columns in B = the number of rows in A. To find theFri, 3 Jan 2020 15:56:47 -0500Jan 2, Multiplication of a Matrix by a Number |Scalar Multiplication|Examples
https://www.math-only-math.com/multiplication-of-a-matrix-by-a-number.html7d4a891029709a601449b71467218fc0We will discuss here about the process of Multiplication of a matrix by a number. The multiplication of a matrix A by a number k gives a matrix of the same order as A, in which all the elements are k times the elements of A.Thu, 2 Jan 2020 15:09:24 -0500Jan 1, Addition of Two Matrices | Matrix Addition | Sum of Two Matrices
https://www.math-only-math.com/addition-of-two-matrices.html68477ca94e4ebd6239d20b0184651461We will learn how to find the addition of two matrices. Two matrices A and B are conformable (compatible) for addition if A and B are of the same order. The sum of A and B is a matrix of the same order and the elements of the matrix A + are obtained by adding theWed, 1 Jan 2020 16:12:33 -0500Dec 30, Classification of Matrices | Row Matrix | Column Matrix | Null Matrix
https://www.math-only-math.com/classification-of-matrices.html833f5fe395ec56626286cda8b150126cMatrices are classified according to the number of rows and columns, and the specific elements therein. (i) Row matrix: A matrix which has exactly one row is called a row matrix. For example, [45 -8], [8 9 10] are row matrices because each has only one row.Mon, 30 Dec 2019 15:59:29 -0500Dec 28, Definition of Equal Matrices | Examples of Equal Matrices
https://www.math-only-math.com/equal-matrices.html22c25f427e3f52494a6e4a87ada3bbc1Equality of two matrix: Two matrices [aij] and [bij] are said to be equal when they have the same number of rows and columns and aij = bij for all admissible values of i and j. Definition of Equal Matrices: Two matrices A and B are said to be equal if A and B have the sameSat, 28 Dec 2019 16:19:39 -0500Dec 27, Position of an Element in a Matrix | 10th Grade Matrix | Examples
https://www.math-only-math.com/position-of-an-element-in-a-matrix.html9ee0c3b323062d8967301c9766b5f6dcWe will learn how to find the position of an element in a matrix? 1. Consider the matrixHere, the element 5 falls on row number 1 and column 1. We say, 5 is the (1, 1)th element. Similarly, (1, 2)th element = -6 (2, 1)th element = 1 (2, 2)th element = 7 (3, 1)th element Fri, 27 Dec 2019 15:08:40 -0500Dec 26, Order of a Matrix | Determine the Order of Matrix | Solved Examples
https://www.math-only-math.com/order-of-a-matrix.html644ea49ff81a3dbbca64ffbe5e41e3b5How to determine the order of matrix? If a matrix has m rows and n columns, its order is said to be m × n (read as ‘m by n’). a matrix of the order m × n has mn elements. Hence, if the number of elements in a matrix be prime, it must have one row or one column.Thu, 26 Dec 2019 15:56:23 -0500Dec 25, nth Root of a | Meaning of \(\sqrt[n]{a}\) | Solved Examples
https://www.math-only-math.com/nth-root-of-a.html9a87f0467150c2e19e654feb167d6381We will discuss here about the meaning of \(\sqrt[n]{a}\). The expression \(\sqrt[n]{a}\) means ‘nth rrot of a’. So, (\(\sqrt[n]{a}\))^n = a. Also, (a^1/a)^n = a^n*1/n = a^1 = a. So, \(\sqrt[n]{a}\) = a^1/n. Examples: \(\sqrt[3]{8}\) = 8^1/3 = (2^3)^1/3 = 2^3 * 1/3 = 2^1Wed, 25 Dec 2019 15:11:46 -0500Dec 22, The laws of exponents are explained here along with their examples.
https://www.math-only-math.com/laws-of-exponents.html02f2a1d7a07a3e07df708e8c06129b5cThe laws of exponents are explained here along with their examples. In multiplication of exponents if the bases are same then we need to add the exponents.Sun, 22 Dec 2019 15:56:28 -0500Dec 22, Laws of Indices | Laws of Exponents| Rules of Indices |Solved Examples
https://www.math-only-math.com/laws-of-indices.htmlef4c97a8fc9becaae447002b991aff1bWe will discuss here about the different Laws of Indices. If a, b are real numbers (>0, ≠ 1) and m, n are real numbers, following properties hold true. (i) am × an = am + n (ii) a-m = \(\frac{1}{a^{m}}\) (iii) \(\frac{a^{m}}{a^{n}}\) = am – n = \(\frac{1}{a^{m - n}}\) Sun, 22 Dec 2019 15:40:55 -0500