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We 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)

Continue reading "Standard form of Parabola x^2 = -4ay | length of latus rectum | Solved Examples"

We 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-ordinates

Continue reading "Standard form of Parabola x^2 = 4ay | Co-ordinate of the Vertex |Solved Examples"

We 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-ordinates

Continue reading "Standard form of Parabola y^2 = - 4ax | Equation of a parabola | Solved Examples"

We 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.

Continue reading "Standard Equation of a Parabola | Parametric form of the Parabola "

We will discuss about the basic concept of parabola and its definition. Definition of Parabola: A parabola is the locus of a fixed point which moves on a plane such a way that its distance from

Continue reading "Concept of Parabola | Definition of Parabola | Directrix of the Parabola"

We will learn how to solve different types of problems on circle. Find the equation of a circle of radius 5 whose centre lies on x-axis and passes through the point (2, 3).

Continue reading "Problems on Circle | Common Chord of the Circles | Equation of the Circle "

Circle formulae will help us to solve different types of problems on circle in co-ordinate geometry. (i) The equation of a circle with centre at (h, k) and radius equals to ‘a’ units is

Continue reading "Circle Formulae | Problems on Circle| General Form of the Equation of a Circle"

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 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 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 "

We will learn how to form the equation of concentric circles. Two circles or more than that are said to be concentric if they have the same centre but different radii.

Continue reading "Equations of Concentric Circles | Circle having same Centre but different Radii"

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 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 find the equation when the centre of a circle 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 = a^2. When the centre of a

Continue reading "Centre of the Circle on y-axis | Equation of a Circle | Central form of Circle"

Practice the questions given in the worksheet on fundamental concepts of geometry. The questions are related to the basic geometrical shapes with which we are already familiar with.

Continue reading "Worksheet on Fundamental Concepts of Geometry | Basic GeometricalShapes "

We will learn how to find the equation when the centre of a circle 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 = a^2.

Continue reading "Centre of the Circle on x-axis | Equation of a Circle | Central form of Circle"

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 the general equation of second degree represents a circle. General second degree equation in x and y is ax\(^{2}\) + 2hxy + by\(^{2}\) + 2gx + 2fy + C = 0

Continue reading "General Equation of Second Degree Represents a Circle | Quadratic Equation "

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"

Parentheses are made like this ( ). They show what part we wish to work first in a number sentence. Some people call then brackets. 4 + 3 + 2 = 9 We can think of this as 7 + 2 = 9 or 4 + 5 = 9

Continue reading "Parentheses | Examples using Parentheses | Brackets | Solved Examples"

Practice the questions given in the worksheet on parentheses. Here we need to group the numbers by using parentheses and then add. 1. In the following number sentences first make 4s by

Continue reading "Worksheet on Parentheses | Group the Numbers by using Parentheses"

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 discuss about the general form of the equation of a circle. Prove that the equation x^2 + y^2 + 2gx + 2fy + c = 0 always represents a circle whose centre is (-g, -f) and radius

Continue reading "General Form of the Equation of a Circle | Point Circle | Imaginary Circle"

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 learn how to solve different type of problems on slope and intercept from the given equation. 1. Find the slope and y-intercept of the straight-line 5x - 3y + 15 = 0

Continue reading "Problems on Slope and Intercept | Intercepted between the Co-ordinate Axes"

Here we will solve different types of word problems on straight lines. 1. Find the equation of a straight line that has y-intercept 4 and is perpendicular to straight line joining (2, -3) and (4, 2).

Continue reading "Word Problems on Straight Lines | Straight Line Intersects the x-axis | Slope"

We will learn how to solve different types of problems on straight lines. 1. Find the angle which the straight line perpendicular to the straight line √3x + y = 1, makes with the positive direction

Continue reading "Problems on Straight Lines | Straight Line Perpendicular to the Straight Line "

Geometry is one of the important part of mathematics. 1. Draw a straight path from Sam’s house to the school. 2. Draw a straight path from the factory to the hospital.

Continue reading "Fundamental Concepts of Geometry | Line and Curves | Closed Curves"

We will discuss here about points and line segment. We know when two lines meet we get a point. When two points on a plane surface are joined, a straight line segment is obtained.

Continue reading "Points and Line Segment |Two Points in a Curved Surface|Line has Infinite Length"

We will learn the transformation of general form into normal form. To reduce the general equation Ax + By + C = 0 into normal form (x cos α + y sin α = p): We have the general equation Ax + By + C = 0

Continue reading "General Form into Normal Form | Find the Perpendicular Distance from the Origin"

Concept of fractions will help us to express different fractional parts of a whole. One-half When an article or a collection of objects is divided into two equal parts is called as half of the whole.

Continue reading "Concept of Fractions |Concept of Half|Concept of One Fourth|Concept of Two Third"

We will learn the transformation of general form into intercept form. To reduce the general equation Ax + By + C = 0 into intercept form (x/A + y/B = 1): We have the general equation Ax + By + C = 0.

Continue reading "General Form into Intercept Form | Determine the Intercepts on the Axes"

We will learn the Transformation of general form into slope-intercept form. To reduce the general equation Ax + By + C = 0 into slope-intercept form (y = mx + b): We have the general equation

Continue reading "General Form into Slope-intercept Form | Reduce the General Equation"

Multiplication table games are an interesting way for kids to learn math multiplication table. A fun way to practice times table by playing games. First the students need to learn

Continue reading "Multiplication Table Games | Math Multiplication Table | Multiplication Games"

We will learn how to find the equation of the bisector of the angle which contains the origin. Algorithm to determine whether the origin lines in the obtuse angle or acute angle between the lines

Continue reading "Bisector of the Angle which Contains the Origin | Equation of the Bisector"

Straight line formulae will help us to solve different types of problems on straight line in co-ordinate geometry. 1. If a straight line makes an angle θ with the positive direction of the axis of x

Continue reading "Straight Line Formulae | Problems on Straight line in Co-ordinate Geometry"

Practice the questions given in the worksheet on number in expanded form. Expanded form of a number is to break down each digit and write the number to show how each digit in the number represents

Continue reading "Worksheet on Number in Expanded Form | Expanded Form | Standard Form"

We will learn how to find the co-ordinates of the point of intersection of two lines. Let the equations of two intersecting straight lines be a\(_{1}\) x + b\(_{1}\)y + c\(_{1}\) = 0

Continue reading "Equations of the Bisectors of the Angles between Two Straight Lines"

Practice the series of numbers given in the worksheet on basic pattern. The questions are based on completing the series of numbers to find the forward numbers and the number which is added to get

Continue reading "Worksheet on Basic Pattern | Completing the Series of Numbers | Basic Pattern"

Concept of pattern will help us to learn the basic number patterns and table patterns. Animals such as all cows, all lions, all dogs and all other animals have dissimilar features.

Continue reading "Concept of Pattern | Similar Patterns in Mathematics | Similar Pattern of Shape"

We will learn how to find the perpendicular distance of a point from a straight line. Prove that the length of the perpendicular from a point (x\(_{1}\), y\(_{1}\)) to a line ax + by + c = 0 is

Continue reading "Distance of a Point from a Straight Line | Length of the Perpendicular "

We will learn how to read and write the numbers words 100 to 1000. Reading and writing the number in words from 100 to 199: Read one hundred five for 105 Read one hundred eighteen for 118

Continue reading "Number Words 100 to 1000 | Reading and Writing the Number in Words"

We will learn how to find the position of a point relative to a line and also the condition for two points to lie on the same or opposite side of a given straight line.

Continue reading "Position of a Point Relative to a Line | Position of a Point and a Straight Line"

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