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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

Continue reading "Transverse and Conjugate Axis of the Hyperbola | Length of Transverse Axis"

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

Continue reading "Centre of the Hyperbola |Definition of the Centre of a Hyperbola|Solved Examples"

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.

Continue reading "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 4 to see how they are related to each other.

Continue reading "Worksheet on Multiplication and Division by 4 |Multiplication Fact|Division Fact"

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

Continue reading "Vertex of the Hyperbola | Definition of the Vertex of a Hyperbola | 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.

Continue reading "Standard Equation of an Hyperbola | Standard Formula of a Hyperbola"

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.

Continue reading "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 2 to see how they are related to each other.

Continue reading "Worksheet on Multiplication and Division by 2 | Multiplication Table of 2"

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

Continue reading "Definition of Hyperbola | Eccentricity of the Hyperbola | Equation of Hyperbola"

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).

Continue reading "Problems on Ellipse | Equation of Ellipse | Major and Minor Axes of the Ellipse "

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.

Continue reading "Focal Distance of a Point on the Ellipse |Sum of the Focal Distance of any Point"

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).

Continue reading "Ellipse Formulae | Problems on Ellipse | Standard Equations of 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

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

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.

Continue reading "Parametric Equation of the Ellipse | Major Axis of an Ellipse |Auxiliary Circle "

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.

Continue reading "Multiplication and Division are Related | Multiplication Fact | Division Fact"

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

Continue reading "Problem Solving on Division | Basic Division Statement Problems | Division"

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

Continue reading "Latus Rectum of the Ellipse | Definition of the Latus Rectum of an Ellipse"

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

Continue reading "Major and Minor Axes of the Ellipse | Definition of Major Axis and Minor Axes"

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

Continue reading "Centre of the Ellipse | Definition of the Centre of a Ellipse | Solved Examples"

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

Continue reading "Vertex of the Ellipse |Definition of the Vertex of Ellipse|Vertices of Ellipse"

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\(\mathrm{\sqrt{g^{2} - c}}\)

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

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 =

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

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

Continue reading "Circle Through the Intersection of Two Circles | Family of Circles | 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

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

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:

Continue reading "Odd and Even Numbers | Ring the Even Numbers | Cross the Odd Numbers"

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

Continue reading "Worksheet on Odd and Even Numbers | Identify the Odd and Even Numerals"

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

Continue reading "Two Foci and Two Directrices of the Ellipse | A Point on 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

Continue reading "Standard Equation of an Ellipse | Standard Form of the Equation 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

Continue reading "Definition of Ellipse |Focus & Directrix of Ellipse| Eccentricity of the Ellipse"

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:

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

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

Continue reading "Parabola Formulae | Problems on Parabola | Standard Equations of Parabola"

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.

Continue reading "Problem Solving on Multiplication | Basic Multiplication Statement Problems"

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).

Continue reading "Parametric Equations of a Parabola | Simplest and the Best Form of a Parabola"

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?

Continue reading "Problem Solving on Subtraction |Basic Subtraction 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.

Continue reading "Problem Solving on Addition | Basic Addition Statement Problems | Solutions"

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.

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

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

Continue reading "Position of a Point with respect to a Parabola | Equation of the Parabola"

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

Continue reading "Equation of the Common Chord of Two Circles | Two Intersecting Circles"

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

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

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.

Continue reading "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 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

Continue reading "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 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

Continue reading "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 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

Continue reading "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 x-axis. The equation of a circle with centre at (h, k) and radius equal to a, is (x - h)^2 + (y - k)^2

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

Continue reading "Circle Passes through the Origin |Equation of the Circle |Central form of Circle"

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

Continue reading "Centre of the Circle Coincides with the Origin |Centre Coincides with the Origin"

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

Continue reading "Equation of a Circle |Parametric Equations of the Circle| Point on Circumference"

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.

Continue reading "Definition of Circle | What is the Definition of Circle? | Radius of the circle"

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

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

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