Math Blog
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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-usMathMon, 23 May 2016 16:46:15 -0400Mon, 23 May 2016 16:46:15 -0400math-only-math.comMay 23, Comparing Ratios | Comparison of Ratios|Which of the following ratios is grater?
http://www.math-only-math.com/comparing-ratios.htmlf590ef1dd9fa2242b989d8f20e3f4156In comparing ratios we will learn how to arrange the ratios. How to Compare Ratios? To compare two ratios, follow these steps: Step I: Make the second term of both the ratios equal.Mon, 23 May 2016 16:46:12 -0400May 22, Types of Ratios |Compounded Ratio|Duplicate Ratio|Inverse Ratio|Triplicate Ratio
http://www.math-only-math.com/types-of-ratios.htmlffaf6e47dec63401d4e34a8d7810021cWe will discuss here about the different types of ratios. 1. Compounded ratio: For two or more ratios, if we take antecedent as product of antecedents of the ratios and consequent as productSun, 22 May 2016 17:12:18 -0400May 20, Important Properties of Ratios |Ratio in its Lowest Terms|Ratio is a Pure Number
http://www.math-only-math.com/important-properties-of-ratios.htmlad6553295ff64169c4814f176d8c7cc1Some of the important properties of ratios are discussed here. 1. Ratio a/b has no unit and can be written as a : b (read as a is to b). 2. The quantities a and b are called terms of the ratio.Fri, 20 May 2016 15:45:08 -0400May 19, Basic Concept of Ratios | Definition of Ratio | Antecedent : Consequent
http://www.math-only-math.com/basic-concept-of-ratios.htmld5b37f51cdbea1fd2a08f9ad88c92f83We will discuss here about the basic concept of ratios. Definition: The ratio of two like quantities a and b is the fraction a/b, which indicates how many times b is the quantity a. In other wordsThu, 19 May 2016 09:24:05 -0400May 18, Worksheet on Solution of a Linear Inequation in One Variable | Inequalities
http://www.math-only-math.com/worksheet-on-solution-of-a-linear-inequation-in-one-variable.html3e06d130eba654ceec5289cab06fd75aPractice the questions given in the worksheet on solution of a linear inequation in one variable 1. If x ∈ N, find the solution set of the linear inequations. (i) 5x + 3 ≤ 2x + 18 Wed, 18 May 2016 16:34:25 -0400May 17, Worksheet on Laws of Inequality | Properties of Inequalitie | Inequations
http://www.math-only-math.com/worksheet-on-laws-of-inequality.html18634185463ee958f66fcdb4c140d543Practice the questions given in the worksheet on laws of inequality. 1. State true or false (i) x < - y ⟹ -x > y (ii) -5x ≥ 15 ⟹ x ≥ -3 (iii) 2x ≤ -7 ⟹ 2x/-4 ≥ -7/-4Tue, 17 May 2016 15:53:19 -0400May 16, Problems on Linear Inequation | Practice with Solving Inequalities
http://www.math-only-math.com/problems-on-linear-inequation.html15c95a61dc97c44a73cb064eeefe290fHere we will solve various types of problems on linear inequation. By applying the law of inequality, we can easily solve simple inequations. This can be seen in the following examplesMon, 16 May 2016 01:25:50 -0400May 15, Difference Between Equation and Inequation | Inequation vs Equation
http://www.math-only-math.com/difference-between-equation-and-inequation.html9390204421ee2f44eec04f9e8e1d2787What are the basic differences between equation and inequation? We have seen that equations are expressed by sign of equality and inequations are expressed by sign of inequality.Sun, 15 May 2016 17:29:17 -0400May 13, Replacement Set and Solution Set in Set Notation | Set of Whole Numbers
http://www.math-only-math.com/replacement-set-and-solution-set-in-set-notation.html82a380265a03f2c87d3a74c60a403a4fWe will discuss here about the replacement set and solution set in set notation. Replacement Set: The set, from which the values of the variable which involved in the inequation, are chosen, is knownFri, 13 May 2016 02:41:38 -0400May 12, Problems on Law of Inequality | Solving Inequalities | Inequality Problem
http://www.math-only-math.com/problems-on-law-of-inequality.html48bba25e217adb621155626fb1e568b2Here we will solve various types of problems on law of inequality. Mark the statement true or false. Justify your answer. (i) If m + 6 > 15 then m - 6 > 3 (ii) If 4k > - 24 then - k > 6. Solution: Thu, 12 May 2016 02:10:52 -0400May 11, Solving a Linear Inequation Algebraically | Solving Inequalities | Inequalities
http://www.math-only-math.com/solving-a-linear-inequation-algebraically.htmle10bc081096674248477aa628581535eMethod of Solving a linear inequation algebraically ax + b >, <, ≥, ≤ cx + d To solve a given linear inequation means to find the value or values of the variable used in it.Wed, 11 May 2016 06:31:32 -0400May 10, Laws of Inequality | Properties of Inequalities |Law and Inequality |Inequations
http://www.math-only-math.com/laws-of-inequality.htmlcb7c4d674b8274cf81f899849e0993b7We will discuss here about the laws of inequality. I. 1. If m > n then (i) m + k > n + k (ii) m – k > n – k, where k is any positive or negative number.Tue, 10 May 2016 01:29:05 -0400May 9, Linear Inequation in One Variable | Solving Linear Inequations | Inequalities
http://www.math-only-math.com/linear-inequation-in-one-variable.html0bb25f0b02e3c83f27bb22fbbb450171We will discuss here about the linear inequation in one variable. The mathematical statement which says that one quantity is not equal to another quantity is called an inequation.Mon, 9 May 2016 17:44:41 -0400May 8, Worksheet on Share and Dividend | Dividend on the Shares | Shares at a Premium
http://www.math-only-math.com/worksheet-on-share-and-dividend.html92eaccd2f3d4715d90a7229141fe7c1fPractice the questions given in the worksheet on share and dividend. Michael has a choice to invest in 10-dollar shares of two firms at $ 13 or at $ 16. If the first firm pays 5% dividend and the Sun, 8 May 2016 23:04:22 -0400May 4, Problems on Shares and Dividends | Dividend, Rate of Dividend | Value of Shares
http://www.math-only-math.com/problems-on-shares-and-dividends.html4c5eb793af775a933549e8d24f40081fWe will discuss here some of the problems on shares and dividends. Michael buys shares of face value $ 50 of a company which pays 10 % dividend. At what price did he buy each share from theWed, 4 May 2016 17:27:36 -0400May 4, Problems on Income and Return from Shares | Shares and Dividends
http://www.math-only-math.com/problems-on-income-and-return-from-shares.html7d81d3f68bf2e2b4205a8926efb2fdefWe will discuss here some of the problems on income and return from shares. Matthew invested $ 67200 in $ 100 shares which are quoted at $ 120. Calculate the income if 12% dividend is declaredWed, 4 May 2016 17:26:37 -0400May 4, Calculation of Income, Return and Number of Shares | Share and Dividend
http://www.math-only-math.com/calculation-of-income-return-and-number-of-shares.html9169d604f81298109c42a695327b8beeWe will discuss here about the calculation of income, return and number of shares. Computation of income and return If the number of shares held by a shareholder = n, rate of dividend = r% per annumWed, 4 May 2016 17:25:00 -0400May 4, Dividend and Rate of Dividend | What is the Dividend Rate? | Dividend Rate
http://www.math-only-math.com/dividend-and-rate-of-dividend.html6f5176b1923a20756a43c49a161a28f7We will discuss here about the dividend and rate of dividend. The part of the annual profit of a company distributed among its shareholders is called dividend.Wed, 4 May 2016 17:23:49 -0400May 4, Share and Value of Shares | Face Value of Shares | Market Value of Shares
http://www.math-only-math.com/share-and-value-of-shares.htmle7ff3bb178dd57060f658f121a41aae6We will discuss here about the share and value of shares. To establish a big business organisations (company or industry), a large number of money is required. It is sometime not possible forWed, 4 May 2016 17:22:21 -0400May 4, Worksheet on Income and Return from Shares | The Rate of Dividend
http://www.math-only-math.com/worksheet-on-income-and-return-from-shares.htmlee0d60253018d5f38f05f22762cb5be1Practice the questions given in the worksheet on income and return from shares. William bought $ 40 shares at a premium of 40%. Find the income, if William invests $ 14000 in these shares and receivesWed, 4 May 2016 17:17:35 -0400May 3, Worksheet on Basic Concept on Shares and Dividends | Market Price of One Share
http://www.math-only-math.com/worksheet-on-basic-concept-on-shares-and-dividends.html0b0cf0e3b942af8848f275c48765f9d8Practice the questions given in the worksheet on basic concept on shares and dividends. 1. How much money will be required to buy 200, $ 25 shares at a premium of $ 2?Tue, 3 May 2016 18:04:24 -0400Apr 25, Problems on Condition of Perpendicularity | Solved Examples on Perpendicularity
http://www.math-only-math.com/problems-on-condition-of-perpendicularity.htmlfc3f7973384e3b1608a26cc791cfaa1bProblems on condition of perpendicularity Here we will solve various types of problems on condition of perpendicularity of two lines. 1. Prove that the lines 5x + 4y = 9 and 4x – 5y – 1 = 0Mon, 25 Apr 2016 16:49:49 -0400Apr 24, Worksheet on Equation of a Straight Line | Equation of Line Worksheet
http://www.math-only-math.com/worksheet-on-equation-of-a-straight-line.htmlcb5afaa1a4ad7591cf3a73c84413f0e5Practice the questions given in the worksheet on equation of a straight line. 1. Determine the equation of the straight line whose gradient is (-3/2) and which intersects the y-axisSun, 24 Apr 2016 15:58:48 -0400Apr 22, Worksheet on Collinearity of 3 Points | Collinearity of Points
http://www.math-only-math.com/worksheet-on-collinearity-of-3-points.htmlfbf3fa34c9a5755e0550965d87ebd26aPractice the questions given in the worksheet on collinearity of three points using the equation of a line.1. Find the equation of the straight line passing through the points (3, - 4) and (1, 2)Fri, 22 Apr 2016 16:02:40 -0400Apr 21, Worksheet on Point-slope Form | Point-slope Form (Practice Worksheet)
http://www.math-only-math.com/worksheet-on-point-slope-form.htmlf4ecd930e74a7d5aff05ec74b7185c6bPractice the questions given in the worksheet on point-slope form of the straight line. If the slope = m and the line passes through the point (x1, y1), the equation of the lien is y - y1 = m(x - x1)Thu, 21 Apr 2016 15:57:39 -0400Apr 20, Worksheet on Two-point Form | Two Point Form Worksheet | Slope From Two Points
http://www.math-only-math.com/worksheet-on-two-point-form.htmldf9fd0121826ef5e05d5c19d98b5ad1cPractice the questions given in the worksheet on two-point form of the straight line. If a straight line passes through the points (x1, y1) and (x2, y2) then its equation is y - y1 =Wed, 20 Apr 2016 02:09:20 -0400Apr 17, Worksheet on Slope and Intercepts |Slopes & Inclinations of the Straight Lines
http://www.math-only-math.com/worksheet-on-slope-and-intercepts.html86d019cb5a69a5cd46f2599698749b0dPractice the questions given in the worksheet on slope and intercepts of the straight line. 1. Write the slope of the straight line whose inclination is (i) 30° (ii) 60° (iii) 45° (iv) 150° (v) 135°Sun, 17 Apr 2016 17:29:56 -0400Apr 16, Worksheet on Slope Intercept Form | Slope-intercept Form Worksheet
http://www.math-only-math.com/worksheet-on-slope-intercept-form.html618925b61ea4b1bb76b09243bf80d2a1Practice the questions given in the worksheet on slope intercept form of a straight line. 1. Find the equation of the line (i) whose slope is 2 and which cuts off an intercept 2 on the y-axisSat, 16 Apr 2016 17:35:03 -0400Apr 15, Condition of Parallelism | What Is The Condition Of Parallelism Of Two Lines?
http://www.math-only-math.com/condition-of-parallelism.htmla9bad77414ad40ddbeeba84b669a8ba9We will discuss here about the condition of parallelism. If two lines are parallel then they are inclined at the same angle θ with the positive direction of the x-axis. So, their slopes are equal.Fri, 15 Apr 2016 17:01:15 -0400Apr 13, Condition of Perpendicularity of Two Straight Lines | Perpendicularity Condition
http://www.math-only-math.com/condition-of-perpendicularity.htmle60a1553bbd45925a44779cb857607acWe will discuss here about the condition of perpendicularity of two straight lines. Let the lines AB and CD be perpendicular to each other. If the inclination of AB with theWed, 13 Apr 2016 17:48:24 -0400Apr 12, Slope and Y-intercept of a Line | Calculating Slope and Y Intercept | Examples
http://www.math-only-math.com/slope-and-y-intercept-of-a-line.html5d4f6a7acb460684776efa8ecd1375fcWe will learn how to find the slope and y-intercept of a line. Consider the following steps to find the slope and y-intercept of a given line: Step I: Convert the given equation of the line in theTue, 12 Apr 2016 17:32:23 -0400Apr 11, Equally Inclined Lines | Equally Inclined Lines Mean | Solved Example
http://www.math-only-math.com/equally-inclined-lines.html1fdff32a3ff15c726ebe4be0db52e8abEqually inclined lines mean: the lines which make equal angles with both the co-ordinate axes. Mon, 11 Apr 2016 17:07:10 -0400Apr 9, Two-point Form of a Line |Two-point Form y - y1 = [(y1 - y2)/(x 1 - x2)](x - x1)
http://www.math-only-math.com/two-point-form-of-a-line.html4d5e7f8e038c107f5ac433e0213b28eeWe will discuss here about the method of finding the equation of a straight line in the two point form. To find the equation of a straight line in the two point form, Let AB be a line passingSat, 9 Apr 2016 17:54:20 -0400Apr 8, Point-slope Form of a Line |Point-slope Form y - y1 = m(x - x1)|Point-slope Form
http://www.math-only-math.com/point-slope-form-of-a-line.html34f8d7f9c584e0030265ef796634a94fWe will discuss here about the method of finding the point-slope form of a line. To find the equation of a straight line passing through a fixed point and having a given slope, let AB be the lineFri, 8 Apr 2016 18:43:07 -0400Apr 5, Slope-intercept Form |Slope-Intercept Form y=mx + b|Line in slope-intercept form
http://www.math-only-math.com/Slope-intercept-form.html1c034c0c0f647e62a8180c7616954ad9We will discuss here about the method of finding the equation of a straight line in the slope-intercept form. Let the straight line AB intersect x-axis at C and y-intersect at D. Tue, 5 Apr 2016 18:23:57 -0400Apr 4, Equation of a Straight Line | Meaning of 'Equation of a Straight Line'
http://www.math-only-math.com/equation-of-a-straight-line.htmlbf215b2289bba611558584669c373a07We will discuss here about the meaning of equation of a straight line. Let the straight line be PQ which passes through the origin (0, 0) and inclined at 45° with the positive direction of the x-axis.Mon, 4 Apr 2016 17:32:00 -0400Apr 3, Slope of the Line Joining Two Points | Slope of a Line from Two Points
http://www.math-only-math.com/slope-of-the-line-joining-two-points.html406b1246d54f2785ee1207b14e4b94fbWe will discuss here about the slope of the line joining two points. To find the slope of a non-vertical straight line passing through two given fixed points: Let P(x1, y1) and Q (x2, y2) be the twoSun, 3 Apr 2016 18:08:13 -0400Mar 31, Intercepts Made by a Straight Line on Axes | Convention for signs of intercepts
http://www.math-only-math.com/intercepts-made-by-a-straight-line-on-axes.html6b3ada455810d4620bd22d168c1d44a6We will discuss here about the intercepts made by a straight line on axes or intercepts of a line made on the axes of reference. Let a straight line ‘MN’ does not passes through the originThu, 31 Mar 2016 19:13:10 -0400Mar 30, Slope of a Line | Slope of a Straight Line | Concept of Slope | Find the Slope
http://www.math-only-math.com/slope-of-a-line.htmlc23135d456c10ed111aed68e0b9fc349We will discuss here about the slope of a line or gradient of a line. If θ (≠ 90°) is the inclination of a straight line, then tan θ is called its slope or gradient. The slope of any inclinedWed, 30 Mar 2016 17:40:56 -0400Mar 29, Inclination of a Line | Angle of Inclination | Inclination of a Straight Line
http://www.math-only-math.com/inclination-of-a-line.html992cc1cc49f7531c6eab80b822ccbfc3The inclination of a line is the angle θ which the part of the line (above the x-axis) makes with x-axis. If measured in anti-clockwise direction then the inclination θ is positive and if measuredTue, 29 Mar 2016 18:06:36 -0400Mar 28, Worksheet on Section Formula | Point of Trisection of the Line Segment
http://www.math-only-math.com/worksheet-on-section-formula.html4f51c73dd145be987e3582b840b94cefPractice the questions given in the worksheet on section formula. To find the co-ordinates of a point which divides the line segment joining two given points in a given ratio.Mon, 28 Mar 2016 18:18:43 -0400Mar 27, Worksheet on Finding the Centroid of a Triangle | Centroid of a Triangle
http://www.math-only-math.com/worksheet-on-finding-the-centroid-of-a-triangle.htmla912d19dac704ee1dbdf978c314af573Practice the questions given in the worksheet on finding the centroid of a triangle. We know the centroid of a triangle is the point of intersection of its medians and it divides each median inSun, 27 Mar 2016 19:01:53 -0400Mar 26, Centroid of a Triangle | How to Find the Centroid of a Triangle? | Examples
http://www.math-only-math.com/centroid-of-a-triangle.html4928b7f5e1a640a86ec0d390987e0280The Centroid of a triangle is the point of intersection of the medians of a triangle. To find the centroid of a triangle Let A (x1, y1), B (x2, y2) and C (x3, y3) are the three vertices of the ∆ABC.Sat, 26 Mar 2016 17:56:59 -0400Mar 24, Midpoint Formula | How Do You Find the Midpoint Between Two Coordinates?
http://www.math-only-math.com/midpoint-formula.htmlb35e7507582105c882096dbd0220e4bdWe will discuss here how to use the midpoint formula to find the middle point of a line segment joining the two co-ordinate points. The coordinates of the midpoint M of a line segment ABThu, 24 Mar 2016 19:32:14 -0400Mar 22, Section Formula | Section of a Line Segment | Definition of Section Formula
http://www.math-only-math.com/section-formula.htmlad0676f39513855d6bb92797114e41fcWe will proof the definition of section formula. Section of a line segment Let AB be a line segment joining the points A and B. Let P be any point on the line segment such that AP : PB = λ : 1Tue, 22 Mar 2016 18:46:59 -0400Mar 21, Worksheet on Collinearity of Three Points |Condition of Collinearity of 3 Points
http://www.math-only-math.com/worksheet-on-collinearity-of-three-points.html7c2f6ffe6cf7a038e9636964147548caPractice the questions given in the worksheet on collinearity of three points. We know that in general, P, Q and R are collinear if the sum of the lengths of any two line segments among PQ, QR and RPMon, 21 Mar 2016 19:28:45 -0400Mar 20, Distance Formula in Geometry | Practice with Distance Formula | Distance Formula
http://www.math-only-math.com/distance-formula-in-geometry.html2d23dd053025e033883395a1b4642d1bWe will discuss here how to use the distance formula in geometry. 1. Show that the points A (8, 3), B (0, 9) and C (14, 11) are the vertices of an isosceles right-angled triangle. Solution:Sun, 20 Mar 2016 19:15:15 -0400Mar 19, Worksheet on Distance Formula | Distance Formula Worksheets
http://www.math-only-math.com/worksheet-on-distance-formula.htmlce9df08943da359c5442634c6711c3f3Practice the questions given in the worksheet on distance formula. 1. Find the point on the x-axis which is equidistance from the point (5, 4) and (-2, 3).Sat, 19 Mar 2016 19:23:57 -0400Mar 16, Distance of a Point from the Origin | Distance between Origin and Point
http://www.math-only-math.com/distance-of-a-point-from-the-origin.htmld6ef62014e424ab9ecfaada68fc6e4a1We will discuss here how to find the distance of a point from the origin. The distance of a point A (x, y) from the origin O (0, 0) is given by OA = \(\sqrt{(x - 0)^{2} + (y - 0)^{2}}\) i.e., OP Wed, 16 Mar 2016 18:36:56 -0400Mar 15, Problems on Distance Formula | Practice with Distance Formula | Math Only Math
http://www.math-only-math.com/problems-on-distance-formula.html6118ef1327ae9bebf598296161daf9ffWe will discuss here how to solve the problems on distance formula. The distance between two points A (x1, y1) and B (x2, y2) is given by the formula AB = sqrt[(x2 - x1)^2 + (y2 - y1)^2]Tue, 15 Mar 2016 03:18:56 -0400Mar 14, Distance Properties in some Geometrical Figures | Distance of any Point
http://www.math-only-math.com/distance-properties-in-some-geometrical-figures.htmlf1a1e2482a3fca96e44897eadc7847a9We will discuss here about the distance properties in some geometrical figures. 1. A triangle ABC is an isosceles triangle if AB = AC or AB = BC or AC = BC. 2. A triangle ABC is anMon, 14 Mar 2016 19:34:34 -0400Mar 13, Conditions of Collinearity of Three Points | Distance Formula | Solved examples
http://www.math-only-math.com/conditions-of-collinearity-of-three-points.html0e4f64a8f93398320587f4533471bffdWe will discuss here how to prove the conditions of collinearity of three points. Collinear points: Three points A, B and C are said to be collinear if they lie on the same straight line.Sun, 13 Mar 2016 18:40:23 -0400Mar 10, Distance Formula | Distance Between 2 Points | Distance Formula Problems
http://www.math-only-math.com/distance-formula.html93e8766afc1987b8177d19460292b00aThe coordinates of two points in a plain fix the positions of the positions of the points in the plane and also the distance between them. The distance and the coordinates of the two pointsThu, 10 Mar 2016 18:43:42 -0500Mar 9, Reflection in Lines Parallel to Axes | Reflection in Line
http://www.math-only-math.com/reflection-in-lines-parallel-to-axes.html70c9f9c3a698cff7c2eb8399f1141709 The coordinates of the points P and Q are (5, -4) and (-2, 10) respectively. (i) Find the point P’ and Q’onto which the points P and Q map on reflection in the line AB which is parallel to the x-axisWed, 9 Mar 2016 18:25:19 -0500Mar 8, Problems on Reflection in the x-axis or y-axis | Examples on Reflection
http://www.math-only-math.com/problems-on-reflection-in-the-x-axis-or-y-axis.html927a0e5ef3d4dac3e6b82bb17062d82dWe will discuss here about some of the examples on reflection in the x-axis or y-axis. 3. The point P whose coordinates are (9, 11) is mapped onto P’ when reflected in the x-axis Tue, 8 Mar 2016 17:41:35 -0500Mar 8, Invariant Points for Reflection in a Line | Point Reflection | Solved Examples
http://www.math-only-math.com/invariant-points-for-reflection-in-a-line.html39bc491b9328e7368f8542c08f9ebf75If the point P is on the line AB then clearly its image in AB is P itself. We say P is an invariant point for the axis of reflection AB. Thus, all the points lying on a line are invariant pointsTue, 8 Mar 2016 17:30:26 -0500