# Math Blog

### Worksheet on Numbers from 500 to 599 | Fill in the Missing Numbers | Answers

Worksheet on numbers from 500 to 599 will help us to practice the numbers from 500 to 599 in orders. 1. Fill in the missing numbers. 2. Write the numbers in words:

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### Worksheet on Numbers from 400 to 499 | Fill in the Missing Numbers | Answers

Worksheet on numbers from 400 to 499 will help us to practice the numbers from 400 to 499 in orders. 1. Fill in the missing numbers. 2. Write the standard numeral for the following:

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### Graph of y = sec x | Values of sec x|Graph of y = sec x in the Interval [-π, 2π]

y = sec x is periodic function. The period of y = sec x is 2π. Therefore, we will draw the graph of y = sec x in the interval [-π, 2π]. For this, we need to take the different values of x at intervals

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### Graph of y = csc x | Values of csc x|Graph of y = csc x in the Interval [-π, 2π]

y = csc x is periodic function. The period of y = csc x is 2π. Therefore, we will draw the graph of y = csc x in the interval [-π, 2π]. For this, we need to take the different values of x at intervals

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### Worksheet on Numbers from 300 to 399 | Fill in the Missing Numbers | Answers

Worksheet on numbers from 300 to 399 will help us to practice the numbers from 300 to 399 in orders. 1. Fill in the missing numbers. 2. Write the number words for the following numbers:

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### Answers of Sample1 | Math Employment Test Samples | US Employment Test

Questions and answers of sample1 for math employment test. 1. If a, b, c, ........, x, y, z are 26 natural numbers , then the value of (x – a) (x – b) (x – c)........ (x – y) (x – z) is:

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### Sample-1 | Math Employment Test Samples | Basic Math Test | Pre-Employment Math

In sample 1 we will find 10 sample questions for math employment test. 1. If a, b, c, ........, x, y, z are 26 natural numbers , then the value of (x – a) (x – b) (x – c)........ (x – y) (x – z) is:

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### Graph of y = tan x | Values of tan x|Graph of y = tan x in the Interval [-π, 2π]

y = tan x is periodic function. The period of y = tan x is 2π. Therefore, we will draw the graph of y = tan x in the interval [-π, 2π]. For this, we need to take the different values of x at intervals

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### Graph of y = sin x | Values of sin x|Graph of y = sin x in the Interval [-π, 2π]

y = sin x is periodic function. The period of y = sin x is 2π. Therefore, we will draw the graph of y = sin x in the interval [-π, 2π]. For this, we need to take the different values of x at intervals

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### Graph of y = cos x | Values of cos x|Graph of y = cos x in the Interval [-π, 2π]

y = cos x is periodic function. The period of y = cos x is 2π. Therefore, we will draw the graph of y = cos x in the interval [-π, 2π]. For this, we need to take the different values of x at intervals

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### Graphs of Trigonometrical Functions |Graphs of the Functions sin x, cos x, tan x

We know how to draw the graphs of algebraic functions. Now using the same procedure we will learn how to draw the graphs of trigonometrical functions.

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### Use a Number Line | Count on a Number Line | Draw a Number Line

How to use a number line? 1. Count on a number line and start at 4. Jump to the right by 3. Write the number you land at? First we will draw a number line. Count on a number line and mark the point 4

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### Problems on Hyperbola | Equation of Hyperbola | Transverse Axes of Hyperbola

We 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:

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### Hyperbola Formulae | Problems on Hyperbola | Standard Equations of Hyperbola

Hyperbola formulae will help us to solve different types of problems on hyperbola in co-ordinate geometry. x^2/a^2 - y^2/a^2 =1

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### Parametric Equation of the Hyperbola | Auxiliary Circle | Transverse Axis

We 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.

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### What is Rectangular Hyperbola? | Equilateral Hyperbola | Solved Examples

What 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.

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### Conjugate Hyperbola | Transverse Axis and Conjugate Axis

What 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 the

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### Worksheet on Multiplication and Division by 9 |Multiplication Fact|Division Fact

We know multiplication and division are related to each other. Now we practice the worksheet on multiplication and division by 9 to see how they are related to each other.

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### Focal Distance of a Point on the Hyperbola | Focal Distance of any Point

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

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### Worksheet on Multiplication and Division by 10 |Multiplication and Division Fact

We know multiplication and division are related to each other. Now we practice the worksheet on multiplication and division by 10 to see how they are related to each other.

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### Worksheet on Multiplication and Division by 8 |Multiplication Fact|Division Fact

Worksheet on Multiplication and Division by 8 We know multiplication and division are related to each other. Now we practice the worksheet on multiplication and division by 8 to see

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### Position of a Point with Respect to the Hyperbola | Solved Examples | Hyperbola

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 hyperbola x^2/a^2 - y^2/b^2 = 1 according

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### 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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### Latus Rectum of the Hyperbola | Definition of the Latus Rectum of an Hyperbola

We 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 focus

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### Worksheet on Multiplication and Division by 7 |Multiplication Fact|Division Fact

We know multiplication and division are related to each other. Now we practice the worksheet on multiplication and division by 7 to see how they are related to each other.

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### Worksheet on Multiplication and Division by 6 |Multiplication Fact|Division Fact

We know multiplication and division are related to each other. Now we practice the worksheet on multiplication and division by 6 to see how they are related to each other.

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### Two Foci and Two Directrices of the Hyperbola | A Point on the Hyperbola

We 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 diagram

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### 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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### 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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### 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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### 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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### 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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### 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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### 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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### 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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### 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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### 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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### 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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### 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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### 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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### 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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### 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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### 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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### 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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### 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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### 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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### 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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### 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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### 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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