Math Blog

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Nov 28, 2014

Transverse and Conjugate Axis of the Hyperbola | Length of Transverse Axis

We 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 hyperbola

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Nov 27, 2014

Centre of the Hyperbola |Definition of the Centre of a Hyperbola|Solved Examples

We 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 centre

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Nov 27, 2014

Worksheet on Multiplication and Division by 5 |Multiplication Fact|Division Fact

We know multiplication and division are related to each other. Now we practice the worksheet on multiplication and division by 5 to see how they are related to each other.

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Nov 27, 2014

Worksheet on Multiplication and Division by 4 |Multiplication Fact|Division Fact

We know multiplication and division are related to each other. Now we practice the worksheet on multiplication and division by 4 to see how they are related to each other.

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Nov 26, 2014

Vertex of the Hyperbola | Definition of the Vertex of a Hyperbola | Hyperbola

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 perpendicular

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Nov 25, 2014

Standard Equation of an Hyperbola | Standard Formula of a Hyperbola

We 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.

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Nov 24, 2014

Worksheet on Multiplication and Division by 3 | Multiplication Table of 3

We know multiplication and division are related to each other. Now we practice the worksheet on multiplication and division by 3 to see how they are related to each other.

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Nov 24, 2014

Worksheet on Multiplication and Division by 2 | Multiplication Table of 2

We know multiplication and division are related to each other. Now we practice the worksheet on multiplication and division by 2 to see how they are related to each other.

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Nov 24, 2014

Definition of Hyperbola | Eccentricity of the Hyperbola | Equation of Hyperbola

We will discuss the definition of hyperbola and how to find the equation of the hyperbola whose focus, directrix and eccentricity are given. If a point (P) moves in the plane in such

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Nov 23, 2014

Problems on Ellipse | Equation of Ellipse | Major and Minor Axes of the Ellipse

We will learn how to solve different types of problems on ellipse. 1. Find the equation of the ellipse whose eccentricity is 4/5 and axes are along the coordinate axes and with foci at (0, ± 4).

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Nov 20, 2014

Focal Distance of a Point on the Ellipse |Sum of the Focal Distance of any Point

What is the focal distance of a point on the ellipse? The sum of the focal distance of any point on an ellipse is constant and equal to the length of the major axis of the ellipse.

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Nov 20, 2014

Ellipse Formulae | Problems on Ellipse | Standard Equations of Ellipse

Ellipse formulae will help us to solve different types of problems on ellipse in co-ordinate geometry. x^2/a ^2 + y^2/b^2 = 1 (a > b) (i) The co-ordinates of the centre are (0, 0).

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Nov 19, 2014

Position of a Point with respect to the Ellipse | Solved Examples | Ellipse

We 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 ellipse x^2/a^2 + y^2/b^2 = 1 according

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Nov 19, 2014

Parametric Equation of the Ellipse | Major Axis of an Ellipse |Auxiliary Circle

We will learn in the simplest way how to find the parametric equations of the ellipse. The circle described on the major axis of an ellipse as diameter is called its Auxiliary Circle.

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Nov 17, 2014

Multiplication and Division are Related | Multiplication Fact | Division Fact

Does multiplication and division are related? Yes, multiplication and division both are related to each other. A few examples are given are given below to show how they are related to each other.

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Nov 14, 2014

Problem Solving on Division | Basic Division Statement Problems | Division

Problem solving on division will help us to get the idea on how to solve the basic division statement problems. 1. The teacher brought 36 books from the library. He asked Ron to put them on 3 tables

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Nov 14, 2014

Latus Rectum of the Ellipse | Definition of the Latus Rectum of an Ellipse

We will discuss about the latus rectum of the ellipse along with the examples. Definition of the latus rectum of an ellipse: The chord of the ellipse through its one focus

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Nov 14, 2014

Major and Minor Axes of the Ellipse | Definition of Major Axis and Minor Axes

We will discuss about the major and minor axes of the ellipse along with the examples. Definition of the major axis of the ellipse: The line-segment joining the vertices of an ellipse is called

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Nov 13, 2014

Centre of the Ellipse | Definition of the Centre of a Ellipse | Solved Examples

We will discuss about the centre of the ellipse along with the examples. The centre of a conic section is a point which bisects every chord passing through it. Definition of the centre of the ellipse

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Nov 12, 2014

Vertex of the Ellipse |Definition of the Vertex of Ellipse|Vertices of Ellipse

We will discuss about the vertex of the ellipse along with the examples. Definition of the vertex of the ellipse: The vertex is the point of intersection of the line perpendicular to the directrix

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Nov 12, 2014

Intercepts on the Axes made by a Circle | Equation of the Circle | Examples

We will learn how to find the intercepts on the axes made by a circle. The lengths of intercepts made by the circle x^2 + y^2 + 2gx + 2fy + c = 0 with X and Y axes are 2\(\mathrm{\sqrt{g^{2} - c}}\)

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Nov 12, 2014

Position of a Point with Respect to a Circle | Discuss the Positions of Points

We will learn how to find the position of a point with respect to a circle. A point (x1, y1) lies outside, on or inside a circle S = x^2 + y^2 + 2gx + 2fy + c = 0 according as S1 >= or <0, where S1 =

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Nov 12, 2014

Circle Through the Intersection of Two Circles | Family of Circles | Examples

We will learn how to find the equation of a circle through the intersection of two given circles The equation of a family of circles passing through the intersection of the circles

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Nov 12, 2014

Circle Passing Through Three Given Points |Equation of a Circle|Solved Examples

We will learn how to find the equation of a circle passing through three given points. Let P (x1, y2), Q (x2, y2) and R (x3, y3) are the three given points. We have to find the equation of the circle

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Nov 11, 2014

Odd and Even Numbers | Ring the Even Numbers | Cross the Odd Numbers

When we start counting odd and even numbers, the first number is odd number then comes the even number. Color the correct number of objects. Ring the even numbers and cross the odd numbers:

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Nov 11, 2014

Worksheet on Odd and Even Numbers | Identify the Odd and Even Numerals

Worksheet on odd and even numbers will help us to identify the odd numerals and even numerals from 1 to 100 For example: 56 is an even number. 47 is an odd number. 1. Cross (X) the odd numbers

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Nov 10, 2014

Two Foci and Two Directrices of the Ellipse | A Point on the Ellipse

We will learn how to find the two foci and two directrices of the ellipse. 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 diagram

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Nov 10, 2014

Standard Equation of an Ellipse | Standard Form of the Equation of the Ellipse

We will learn how to find the standard equation of an ellipse. Let S be the focus, ZK the straight line (directrix) of the ellipse and e (0 < e < 1) be its eccentricity. From S draw SK

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Nov 10, 2014

Definition of Ellipse |Focus & Directrix of Ellipse| Eccentricity of the Ellipse

We 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 plane

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Nov 07, 2014

Problems on Parabola | Equation of a Parabola | Directrix, Axis & Latusrectum

We will learn how to solve different types of problems on parabola. 1. Find the vertex, focus, directrix, axis and latusrectum of the parabola y^2 - 4x - 4y = 0 Solution:

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Nov 07, 2014

Parabola Formulae | Problems on Parabola | Standard Equations of Parabola

Parabola formulae will help us to solve different types of problems on parabola in co-ordinate geometry. 1. In the following standard equations of parabola ‘a’ is the distance between the vertex

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Nov 06, 2014

Problem Solving on Multiplication | Basic Multiplication Statement Problems

Problem solving on multiplication will help us to get the idea on how to solve the basic multiplication statement problems. 1. Three groups of ponies are eating. There are 2 ponies in each group.

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Nov 06, 2014

Parametric Equations of a Parabola | Simplest and the Best Form of a Parabola

We will learn in the simplest way how to find the parametric equations of a parabola. The best and easiest form to represent the co-ordinates of any point on the parabola y^2 = 4ax is (at^2, 2at).

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Nov 05, 2014

Problem Solving on Subtraction |Basic Subtraction Statement Problems | Solutions

Problem solving on subtraction will help us to get the idea on how to solve the basic subtraction statement problems. 1. Eight birds sat on a wire. Three birds flew away. How many were left?

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Nov 05, 2014

Problem Solving on Addition | Basic Addition Statement Problems | Solutions

Problem solving on addition will help us to get the idea on how to solve the basic addition statement problems. 1. Three boys were playing cricket.

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Nov 05, 2014

Worksheet on Addition (Carrying) |Add the Ones or Unit Place |Add the Tens Place

Practice the questions given in the worksheet on addition (carrying). Here we first need to add the ones or unit place and then add the tens place.

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Nov 05, 2014

Position of a Point with respect to a Parabola | Equation of the Parabola

We 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 the

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Nov 03, 2014

Equation of the Common Chord of Two Circles | Two Intersecting Circles

We will learn how to find the equation of the common chord of two circles. Let us assume that the equations of the two given intersecting circles be x2 + y2 + 2g1x + 2f1y + c1 = 0 and

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Nov 03, 2014

Equation of a Circle when Line Segment Joining Two Given Points is a Diameter

We will learn how to find the equation of the circle for which the line segment joining two given points is a diameter. Let P (x1, y2) and Q (x2, y2) are the two given points on the circle

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Nov 03, 2014

Circle Touches both x-axis and y-axis | Circle Touches both the Co-ordinate

We will learn how to find the equation of a circle touches both x-axis and y-axis. The equation of a circle with centre at (h, k) and radius equal to a, is (x - h)^2 + (y - k)^2 = a^2.

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Nov 03, 2014

Circle Touches y-axis | Central form of the Equation of a Circle | Examples

We will learn how to find the equation of a circle touches y-axis. The equation of a circle with centre at (h, k) and radius equal to a, is (x - h)^2 + (y - k)^2 = a^2. When the circle touches y-axis

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Nov 03, 2014

Circle Touches x-axis | Central Form of the Equation of a Circle touches x-axis

We will learn how to find the equation of a circle touches x-axis. The equation of a circle with centre at (h, k) and radius equal to a, is (x - h)^2 + (y - k)^2 = a^2. When the circle touches x-axis

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Nov 02, 2014

Circle Passes through the Origin and Centre Lies on y-axis |Equation of a Circle

We will learn how to find the equation of a circle passes through the origin and centre lies on y-axis. The equation of a circle with centre at (h, k) and radius equal to a, is (x - h)^2 + (y - k)^2

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Nov 02, 2014

Circle Passes through the Origin and Centre Lies on x-axis |Equation of a Circle

We will learn how to find the equation of a circle passes through the origin and centre lies on x-axis. The equation of a circle with centre at (h, k) and radius equal to a, is (x - h)^2 + (y - k)^2

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Nov 02, 2014

Circle Passes through the Origin |Equation of the Circle |Central form of Circle

We will learn how to form the equation of a circle passes through the origin. The equation of a circle with centre at (h, k) and radius equal to a, is (x - h)^2 + (y - k)^2 = a^2

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Nov 02, 2014

Centre of the Circle Coincides with the Origin |Centre Coincides with the Origin

We will learn how to form the equation of a circle when the centre of the circle coincides with the origin. The equation of a circle with centre at (h, k) and radius equal to a, is

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Nov 02, 2014

Equation of a Circle |Parametric Equations of the Circle| Point on Circumference

We will learn how to find the equation of a circle whose centre and radius are given. Case I: If the centre and radius of a circle be given, we can determine its equation: To find the equation

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Nov 01, 2014

Definition of Circle | What is the Definition of Circle? | Radius of the circle

What is the definition of circle? A circle is defined as the locus of a point which moves in a plane such its distance from a fixed point in that plane is always constant.

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Nov 01, 2014

Parabola whose Vertex at a given Point and Axis is Parallel to y-axis | Examples

We 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 which

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