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-usMathSat, 31 Jan 2015 10:23:16 -0500Sat, 31 Jan 2015 10:23:16 -0500math-only-math.comJan 31, Quadratic Equation has Only Two Roots | General Form of Quadratic Equation
http://www.math-only-math.com/quadratic-equation-has-only-two-roots.htmld4d59ea4fee1b9056754a3b344c2527aWe will discuss that a quadratic equation has only two roots or in other words we can say that a quadratic equation cannot have more than two roots. We will prove this one-by-one.Sat, 31 Jan 2015 10:23:13 -0500Jan 31, Factor Theory of Quadratic Equation | Quadratic Expression|Roots of the Equation
http://www.math-only-math.com/factor-theory-of-quadratic-equation.html3c078556cc90b22397356ba941fc473bWe will discuss about the factor theory of quadratic equation. Suppose when we assume that β be a root of the quadratic equation ax^2 + bx + c = 0, then we get (x - β) is a factor of the quadraticSat, 31 Jan 2015 10:16:21 -0500Jan 29, Problems on Divisibility Rules | Rules to Test of Divisibility | Divisible by 4
http://www.math-only-math.com/problems-on-divisibility-rules.html905208389e56af30af29b48a10d84d25Problems on divisibility rules will help us to learn how to use the rules to test of divisibility by 2, 3, 4, 5, 6, 7, 8, 9, 10 and 11. 1. Is 7248 is divisible (i) by 4, (ii) by 2 and (iii) by 8?Thu, 29 Jan 2015 14:45:28 -0500Jan 29, Worksheet on Divisibility Rules | Questions on Test of Divisibility |
http://www.math-only-math.com/worksheet-on-divisibility-rules.html65cb07ac2a016ba5d854d69514841372Worksheet on divisibility rules will help us to practice different types of questions on test of divisibility by 2, 3, 4, 5, 6, 7, 8, 9, 10 and 11. We need to use the divisibility rules toThu, 29 Jan 2015 14:42:56 -0500Jan 29, Introduction of Quadratic Equation | Quadratic Polynomial | General Form
http://www.math-only-math.com/introduction-of-quadratic-equation.html52d6772b101e6394c61323f826853ba9We will discuss about the introduction of quadratic equation. A polynomial of second degree is generally called a quadratic polynomial. If f(x) is a quadratic polynomial, then f(x) = 0 is calledThu, 29 Jan 2015 14:17:38 -0500Jan 28, Division of Whole Numbers |Relation between Dividend, Divisor, Quotient, Remaind
http://www.math-only-math.com/division-of-whole-numbers.html8cbad368ee761fc564e233c4ef4ceaaeDivision of whole numbers is discussed here step by step. 1. Division is repeated subtraction. (a) 25 ÷ 5 = 5 (Repeated Subtraction) (i) 25 - 5 = 20 (ii) 20 - 5 = 15 (iii) 15 - 5 =10 (iv) 10 - 5 = 5Wed, 28 Jan 2015 15:30:20 -0500Jan 26, Problems on Geometric Progression | Common Ratio of the Geometric Progression
http://www.math-only-math.com/problems-on-geometric-progression.htmlc814e0f7df7a734da09582a74b15040bHere we will learn how to solve different types of problems on Geometric Progression. 1. Find the common ratio of the Geometric Progression whose, sum of the third and fifth terms is 90 and itsMon, 26 Jan 2015 15:37:50 -0500Jan 22, Properties of Divisibility |Factors of the Number|Co-prime Numbers|Divisibility
http://www.math-only-math.com/properties-of-divisibility.htmle04b43ee63b951132ffbdb98acdd476fWe will discuss here about what are the properties of divisibility. The following properties are: (i) When a number is divisible by another number, it is also divisible by the factors of the number.Thu, 22 Jan 2015 16:00:06 -0500Jan 22, Worksheet on Multiples and Factors | Prime Number or Composite Number
http://www.math-only-math.com/worksheet-on-multiples-and-factors.htmld4bbd75097373f9f0d90f4e348aa3ea7Worksheet on multiples and factors contains various types of questions. We know, 1 is a factor of every number. And, a multiple of a number is always greater than or equal to the number.Thu, 22 Jan 2015 15:51:15 -0500Jan 22, Relation between Arithmetic Means and Geometric Means | Solved Examples
http://www.math-only-math.com/relation-between-arithmetic-means-and-geometric-means.html771a594cdedf6a24fbe4cb69655a0725We will discuss here about some of the important relation between Arithmetic Means and Geometric Means. The following properties are: Property I: The Arithmetic Means of two positive numbersThu, 22 Jan 2015 15:40:07 -0500Jan 21, Prime and Composite Numbers | Prime Numbers | Composite Numbers
http://www.math-only-math.com/prime-and-composite-numbers.htmlfbee1944643e6778ae85008061228ff6What are the prime and composite numbers? Prime numbers are those numbers which have only two factors 1 and the number itself. For example, these numbers are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29,Wed, 21 Jan 2015 16:16:05 -0500Jan 21, Subtraction of Whole Numbers | Whole Numbers | Subtract One Large Number
http://www.math-only-math.com/subtraction-of-whole-numbers.html45def3850ed477486436b4e17b6c5ca0Subtraction of whole numbers is discussed in the following two steps to subtract one large number from another large number: Step I: We arrange the given numbers in columns, ones under onesWed, 21 Jan 2015 16:02:19 -0500Jan 21, Prime Factors | Prime Factors of a Number | First Prime Number | Prime Numbers
http://www.math-only-math.com/prime-factor.html1a5e3cff8d82a50eabb9e389541156acPrime factor is the factor of the given number which is a prime number also. How to find the prime factors of a number? Let us take an example to find prime factors of 210.Wed, 21 Jan 2015 15:45:56 -0500Jan 21, Properties of Geometric Progression | Geometric Series | Problems on G. P.
http://www.math-only-math.com/properties-of-geometric-progression.html78f709924fb9cdecdafffd77329c5f76We will discuss about some of the properties of Geometric Progressions and geometric series which we will frequently use in solving different types of problems on Geometric Progressions.Wed, 21 Jan 2015 01:51:31 -0500Jan 19, Geometric Progression Formulae | General Form of a Geometric Progression
http://www.math-only-math.com/geometric-progression-formulae.html3ddc8b4060419e5d201256d7fc61b788We will discuss about different types of Geometric Progression formulae. 1. The general form of a Geometric Progression is {a, ar, ar^2, ar^3, ar^4, ......}, where ‘a’ and ‘r’ are called theMon, 19 Jan 2015 14:46:57 -0500Jan 18, Sum of an infinite Geometric Progression | Geometric Progression | Examples
http://www.math-only-math.com/sum-of-an-infinite-geometric-progression.html3d0fc885a985b21d108a31c9b1941949The sum of an infinite Geometric Progression with first term a and common ratio r (-1 < r < 1 i.e., |r| < 1) is S = a/(1 - r)Sun, 18 Jan 2015 15:36:50 -0500Jan 16, Multiples and Factors | Infinite Factors | Multiply Counting Numbers
http://www.math-only-math.com/multiples-and-factors.htmle19103efd431a579390eddba22235591We will discuss here about multiples and factors and how they are related to each other. Factors of a number are those numbers which can divide the number exactly. For example, 1, 2, 3 and 6 areFri, 16 Jan 2015 17:06:38 -0500Jan 16, Addition of Whole Numbers | Add Large Numbers | Whole Numbers | Numbers
http://www.math-only-math.com/addition-of-whole-numbers.htmlc9661993794463bfd4d756a8e36f3f7aAddition of whole numbers is discussed in the following steps how to add large numbers: Step I: We arrange the given numbers in columns, ones under ones, tens under tens, hundred underFri, 16 Jan 2015 16:51:40 -0500Jan 16, Selection of Terms in Geometric Progression | Geometric Progression
http://www.math-only-math.com/selection-of-terms-in-geometric-progression.htmlaf9cd93a6fc3e768a44ef1726a175d65Sometimes we need to assume certain number of terms in Geometric Progression. The following ways are generally used for the selection of terms in Geometric Progression.Fri, 16 Jan 2015 15:15:49 -0500Jan 15, Position of a Term in a Geometric Progression | Geometric Sequences
http://www.math-only-math.com/position-of-a-term-in-a-geometric-progression.html95135f5d45890cd3b26652d42292f286We will learn how to find the position of a term in a Geometric Progression. On finding the position of a given term in a given Geometric Progression We need to use the formula of nthThu, 15 Jan 2015 13:57:44 -0500Jan 14, Word Problems on Multiplication and Division of Whole Numbers | Large Numbers
http://www.math-only-math.com/word-problems-on-multiplication-and-division-of-whole-numbers.html64238de3202acd7bd7fae977c05433f5We will learn how to solve step-by-step the word problems on multiplication and division of whole numbers. We know, we need to do multiplication and division in our daily life. Let us solve someWed, 14 Jan 2015 16:04:18 -0500Jan 14, Worksheet on Multiplication and Division of Large Numbers | Word Problems
http://www.math-only-math.com/worksheet-on-multiplication-and-division-of-large-numbers.html94a42ffcf4b838640c9fd734153fbddaIn worksheet on multiplication and division of large numbers we will get different questions for multiplying and dividing 7-digit, 8-digit and 9-digit numbers. Find the following products:Wed, 14 Jan 2015 15:49:40 -0500Jan 14, Sum of n terms of a Geometric Progression | Find the Sum of the Geometric Series
http://www.math-only-math.com/sum-of-n-terms-of-a-geometric-progression.html8021fcc9d63df2e97aae7af076593e94We will learn how to find the sum of n terms of the Geometric Progression {a, ar, ar^2, ar^3, ar^4, ...........} To prove that the sum of first n terms of the Geometric Progression whoseWed, 14 Jan 2015 15:40:44 -0500Jan 14, Definition of Geometric Mean | Geometric Progression | Solved Examples
http://www.math-only-math.com/geometric-mean.html05c6040696965a4ae0447d5efbbf893aDefinition of Geometric Mean: If three quantities are in Geometric Progression then the middle one is called the geometric mean of the other two. Wed, 14 Jan 2015 13:09:00 -0500Jan 13, Position of a Point with respect to a Parabola | Equation of the Parabola
http://www.math-only-math.com/position-of-a-point-with-respect-to-a-parabola.html86f5acbd098d71eb1aed8cf9361afdb7We will learn how to find the position of a point with respect to a parabola. The position of a point (x1, y1) with respect to a parabola y^2 = 4ax (i.e. the point lies outside, on or within theTue, 13 Jan 2015 15:51:00 -0500Jan 13, Parabola whose Vertex at a given Point and Axis is Parallel to y-axis | Examples
http://www.math-only-math.com/parabola-whose-vertex-at-a-given-point-and-axis-is-parallel-to-y-axis.html200bfb0a99240012cc6e764d3bf0d97aWe will discuss how to find the equation of the parabola whose vertex at a given point and axis is parallel to y-axis. Let A (h, k) be the vertex of the parabola, AM is the axis of the parabola whichTue, 13 Jan 2015 15:47:53 -0500Jan 12, Word Problems on Addition and Subtraction of Whole Numbers | Large Numbers
http://www.math-only-math.com/word-problems-on-addition-and-subtraction-of-whole-numbers.htmld31203beb55fae4ed8d0dca206cbdd14We will learn how to solve step-by-step the word problems on addition and subtraction of whole numbers. We know, we need to do addition and subtraction in our daily life. Let us solve some wordMon, 12 Jan 2015 17:19:50 -0500Jan 12, Worksheet on Addition and Subtraction of Large Numbers | Arrange in Columns
http://www.math-only-math.com/worksheet-on-addition-and-subtraction-of-large-numbers.html304701465f08a8c9e10eab144dc4225aIn worksheet on addition and subtraction of large numbers we will get different questions for adding and subtracting 7-digit, 8-digit and 9-digit numbers. Note: To make it easy to add or subtract weMon, 12 Jan 2015 17:06:30 -0500Jan 11, General Form and General Term of a Geometric Progression | nth Term of a P. G.
http://www.math-only-math.com/general-form-and-general-term-of-a-geometric-progression.html171a907fa4180fbe6c25f63e51f92651We will discuss here about the general form and general term of a Geometric Progression. The general form of a Geometric Progression is {a, ar, ar^2, ar^3, .......}, where ‘a’ and ‘r’ are called the Sun, 11 Jan 2015 16:31:26 -0500Jan 10, Parabola whose Vertex at a given Point and Axis is Parallel to x-axis | Examples
http://www.math-only-math.com/parabola-whose-vertex-at-a-given-point-and-axis-is-parallel-to-x-axis.html14d917b9409bba2d8eb6c56dd454259cWe will discuss how to find the equation of the parabola whose vertex at a given point and axis is parallel to x-axis. Let A (h, k) be the vertex of the parabola, AM is the axis of the parabola whichSat, 10 Jan 2015 01:11:59 -0500Jan 10, Standard form of Parabola x^2 = -4ay | length of latus rectum | Solved Examples
http://www.math-only-math.com/standard-form-of-parabola-x-square-equals-negative-4ay.htmlcc6da91eb2eeee0eefa77ed2334afcacWe will discuss about the standard form of parabola x^2 = -4ay Equation y2 = -4ax (a > 0) represents the equation of a parabola whose co-ordinate of the vertex is at (0, 0)Sat, 10 Jan 2015 01:05:41 -0500Jan 10, Standard form of Parabola x^2 = 4ay | Co-ordinate of the Vertex |Solved Examples
http://www.math-only-math.com/standard-form-of-parabola-x-square-equals-4ay.html63a49ab34c311db0f7bb81b4175d1371We will discuss about the standard form of parabola x^2 = 4ay Equation y2 = 4ax (a > 0) represents the equation of a parabola whose co-ordinate of the vertex is at (0, 0), the co-ordinatesSat, 10 Jan 2015 00:59:30 -0500Jan 9, Geometric Progression | Geometric Series | Common Ratio | Solved Examples
http://www.math-only-math.com/geometric-progression.htmlb2b216d18b908ef32b016a585f590dabWe will discuss here about the Geometric Progression along with examples. A sequence of numbers is said to be Geometric Progression if the ratio of any term and its preceding term is always aFri, 9 Jan 2015 16:05:03 -0500Jan 8, Standard form of Parabola y^2 = - 4ax | Equation of a parabola | Solved Examples
http://www.math-only-math.com/standard-form-of-parabola-y-square-equals-negative-4ax.html9299c581d998d97e271b4bb0d8c715e0We will discuss about the standard form of parabola y^2 = - 4ax. The equation y^2 = - 4ax (a > 0) represents the equation of a parabola whose co-ordinate of the vertex is at (0, 0), the co-ordinatesThu, 8 Jan 2015 15:07:31 -0500Jan 8, Standard Equation of a Parabola | Parametric form of the Parabola
http://www.math-only-math.com/standard-equation-of-a-parabola.htmldb55f39c3ad12bcbe2b63555aa957853We will discuss about the standard equation of a parabola. Let S be the focus and the straight line ZZ’, the directrix of the required parabola.Thu, 8 Jan 2015 14:58:33 -0500Jan 8, Definition of Ellipse |Focus & Directrix of Ellipse| Eccentricity of the Ellipse
http://www.math-only-math.com/definition-of-ellipse.htmlb5e19ff5af204f50c255ee5bca865149We will discuss the definition of ellipse and how to find the equation of the ellipse whose focus, directrix and eccentricity are given. An ellipse is the locus of a point P moves on this planeThu, 8 Jan 2015 13:05:04 -0500Jan 8, Problems on Hyperbola | Equation of Hyperbola | Transverse Axes of Hyperbola
http://www.math-only-math.com/problems-on-hyperbola.html3a567a5fcbf2046d5a7bfe205276b2ccWe will learn how to solve different types of problems on hyperbola. 1. Find the position of the point (6, - 5) relative to the hyperbola x^2/9 - y^2/25 = 1. Solution:Thu, 8 Jan 2015 12:57:06 -0500Jan 8, Hyperbola Formulae | Problems on Hyperbola | Standard Equations of Hyperbola
http://www.math-only-math.com/hyperbola-formulae.htmle84b5cdba84284248633c1126fc07ba9Hyperbola formulae will help us to solve different types of problems on hyperbola in co-ordinate geometry. x^2/a^2 - y^2/a^2 =1Thu, 8 Jan 2015 12:56:35 -0500Jan 8, Parametric Equation of the Hyperbola | Auxiliary Circle | Transverse Axis
http://www.math-only-math.com/parametric-equations-of-the-hyperbola.html9fabf8565c60c24b1d701272febf7319We will learn in the simplest way how to find the parametric equations of the hyperbola. The circle described on the transverse axis of a hyperbola as diameter is called its Auxiliary Circle.Thu, 8 Jan 2015 12:55:54 -0500Jan 8, What is Rectangular Hyperbola? | Equilateral Hyperbola | Solved Examples
http://www.math-only-math.com/rectangular-hyperbola.htmla0ad2c09be05866f474a4c8c4a5ffdefWhat is rectangular hyperbola? When the transverse axis of a hyperbola is equal to its conjugate axis then the hyperbola is called a rectangular or equilateral hyperbola. Thu, 8 Jan 2015 12:54:18 -0500Jan 8, Conjugate Hyperbola | Transverse Axis and Conjugate Axis
http://www.math-only-math.com/conjugate-hyperbola.htmlbc10ba94fc8faba53609f0069217d12dWhat is conjugate hyperbola? If the transverse axis and conjugate axis of any hyperbola be respectively the conjugate axis and transverse axis of another hyperbola then the hyperbolas are called theThu, 8 Jan 2015 12:53:34 -0500Jan 8, Position of a Point with Respect to the Hyperbola | Solved Examples | Hyperbola
http://www.math-only-math.com/position-of-a-point-with-respect-to-the-hyperbola.htmlda29f89e3729f6c66ac608f7acbe4520We will learn how to find the position of a point with respect to the ellipse. The point P (x1, y1) lies outside, on or inside the hyperbola x^2/a^2 - y^2/b^2 = 1 accordingThu, 8 Jan 2015 12:52:49 -0500Jan 8, Latus Rectum of the Hyperbola | Definition of the Latus Rectum of an Hyperbola
http://www.math-only-math.com/latus-rectum-of-the-hyperbola.htmld2a2a419218ea2ec33a6c5981aace496We will discuss about the latus rectum of the hyperbola along with the examples. Definition of the latus rectum of an hyperbola: The chord of the hyperbola through its one focusThu, 8 Jan 2015 12:52:00 -0500Jan 8, Two Foci and Two Directrices of the Hyperbola | A Point on the Hyperbola
http://www.math-only-math.com/two-foci-and-two-directrices-of-the-hyperbola.html0e95674a94ebcdccd1004759764c409cWe will learn how to find the two foci and two directrices of the hyperbola. Let P (x, y) be a point on the ellipse. x^2/a^2 - y^2/b^2 = 1 or, b^2x^2 - a^2y^2 = a^2b^2 Now form the above diagramThu, 8 Jan 2015 12:51:26 -0500Jan 8, Transverse and Conjugate Axis of the Hyperbola | Length of Transverse Axis
http://www.math-only-math.com/transverse-and-conjugate-axis-of-the-hyperbola.html38b3d0de662200a489a30d93839198cdWe will discuss about the transverse and conjugate axis of the hyperbola along with the examples. Definition of the transverse axis of the hyperbola: The transverse axis is the axis of a hyperbolaThu, 8 Jan 2015 12:50:51 -0500Jan 8, Centre of the Hyperbola |Definition of the Centre of a Hyperbola|Solved Examples
http://www.math-only-math.com/centre-of-the-hyperbola.htmlef7e88ad059b941a31530fc7aa57a404We will discuss about the centre of the hyperbola along with the examples. The centre of a conic section is a point which bisects every chord passing through it. Definition of the centreThu, 8 Jan 2015 12:42:54 -0500Jan 8, Vertex of the Hyperbola | Definition of the Vertex of a Hyperbola | Hyperbola
http://www.math-only-math.com/vertex-of-the-hyperbola.htmledd9018e483ad401f1627e890754bd2a We will discuss about the vertex of the hyperbola along with the examples. Definition of the vertex of the hyperbola: The vertex is the point of intersection of the line perpendicularThu, 8 Jan 2015 12:41:57 -0500Jan 8, Standard Equation of an Hyperbola | Standard Formula of a Hyperbola
http://www.math-only-math.com/standard-equation-of-a-hyperbola.html0d9eb5ffe5d691dc534a09aa8e456b3cWe will learn how to find the standard equation of a hyperbola. Let S be the focus, e (> 1) be the eccentricity and line KZ its directrix of the hyperbola whose equation is required.Thu, 8 Jan 2015 12:41:01 -0500Jan 7, Problems on Sum of 'n' Terms of Arithmetic Progression | Arithmetic Progression
http://www.math-only-math.com/problems-on-sum-of-n-terms-of-arithmetic-progression.html13ffa594bf0c889b91c8f39527901693Here we will learn how to solve different types of problems on sum of n terms of Arithmetic Progression. 1. Find the sum of the first 35 terms of an Arithmetic Progression whose third term is 7Wed, 7 Jan 2015 14:51:43 -0500Jan 7, Problems on Arithmetic Progression | General term of an Arithmetic Progression
http://www.math-only-math.com/problems-on-arithmetic-progression.htmla406568a022c436e4e469c1d33d348c8Here we will learn how to solve different types of problems on arithmetic progression. 1. Show that the sequence 7, 11, 15, 19, 23, ......... is an Arithmetic Progression. Find its 27th term and theWed, 7 Jan 2015 14:39:34 -0500Jan 5, Arithmetic Progression Formulae | General Term of an Arithmetic Progression
http://www.math-only-math.com/arithmetic-progression-formulae.html9e604984ac47cc0a80de4ed680e440d7We will discuss about different types of Arithmetic Progression formulae. Let ‘a’ be the first term and ‘d’ the common difference of an Arithmetic Progression. Then its General term = a + (n - 1)dMon, 5 Jan 2015 15:55:35 -0500Jan 5, Selection of Terms in an Arithmetic Progression | Arithmetic Progression
http://www.math-only-math.com/selection-of-terms-in-an-arithmetic-progression.html5df41cb4ab76b4d2d506d20d86a04334Sometimes we need to assume certain number of terms in Arithmetic Progression. The following ways are generally used for the selection of terms in an arithmetic progression.Mon, 5 Jan 2015 15:48:04 -0500Jan 3, Multiplication of Whole Numbers |Whole Numbers|Multiplication|Numbers
http://www.math-only-math.com/multiplication-of-whole-numbers.html7cb51d02d796f30ec0b56f2d6d6ed367Multiplication of whole numbers is the sort way to do repeated addition. The number by which any number is multiplied is known as the multiplicand. The result of the multiplication is knownSat, 3 Jan 2015 15:41:59 -0500Jan 3, Arithmetic Mean in Mathematics | Arithmetic Progression |Definition and Examples
http://www.math-only-math.com/arithmetic-mean-in-mathematics.htmlbebbeaf06f33715b037ce98944904db2We will discuss about what is arithmetic mean in mathematics? When given three quantities are in Arithmetic Progression, the middle one is known as the arithmetic mean of the other two. Sat, 3 Jan 2015 15:03:23 -0500Jan 1, Sum of the Cubes of First n Natural Numbers | Arithmetic Sequences and Sums
http://www.math-only-math.com/sum-of-the-cubes-of-first-n-natural-numbers.htmla821d0ec874ddcdb21967cea29f04547We will discuss here how to find the sum of the cubes of first n natural numbers. Let us assume the required sum = S Therefore, S = 1^3 + 2^3 + 3^3 + 4^3 + 5^3 + ........... + n^3Thu, 1 Jan 2015 15:48:39 -0500Jan 1, Sum of the Squares of First n Natural Numbers | Arithmetic Sequences and Sums
http://www.math-only-math.com/sum-of-the-squares-of-first-n-natural-numbers.html4db9e40e52555732aba84c38d4731c39We will discuss here how to find the sum of the squares of first n natural numbers. Let us assume the required sum = S Therefore, S = 1^2 + 2^2 + 3^2 + 4^2 + 5^2 + ............ + n^2Thu, 1 Jan 2015 14:10:21 -0500Dec 28, Sum of First n Natural Numbers | Arithmetic Progression | Sum of Natural Numbers
http://www.math-only-math.com/sum-of-first-n-natural-numbers.html19764d97945808c8242c71f7f4f21092We will discuss here how to find the sum of first n natural numbers. Let S be the required sum. Therefore, S = 1 + 2 + 3 + 4 + 5 + ....... + n Clearly, it is an Arithmetic Progression whoseSun, 28 Dec 2014 04:53:30 -0500