Sum

Limits: Reaching for a Goal

Limits: Reaching for a Goal 150 150 SchoolTutoring Academy

A limit can be a difficult concept to grasp in mathematics, as it is a value that is never reached, but is ‘approached’ by an input, or index of some…

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Cubes and Cube Roots

Cubes and Cube Roots 150 150 SchoolTutoring Academy

Cube: The cube of a number a is denoted by a3 and it is nothing but the product of a for 3 rimes. So, a3 = a x a x…

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Area and Perimeter of Polygons

Area and Perimeter of Polygons 150 150 SchoolTutoring Academy

Perimeter of polygons: The perimeter of a polygon is the sum of all sides of its sides. i.e. the perimeter is the distance around the polygon. In the following figure,…

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Properties of a Triangle

Properties of a Triangle 150 150 SchoolTutoring Academy

Triangle: A triangle is a closed curve which is formed by 3 line segments. The line segments by which the triangle is formed are called sides of the triangle. The…

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Determinant of a Matrix

Determinant of a Matrix 150 150 SchoolTutoring Academy

Every square matrix is associated with a real number which is called the determinant of the square matrix. Let S be the set of all square matrices and R be…

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Canonical Representation of a Number

Canonical Representation of a Number 150 150 SchoolTutoring Academy

Prime and composite numbers: An integer is called prime if it is divisible only by 1 and itself. i.e. a prime number cannot be divisible by any other number than…

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Operations on Complex Numbers

Operations on Complex Numbers 150 150 SchoolTutoring Academy

A number which is of the form a+ib, where a and b are real numbers and i2 =-1, is called a complex number and is usually denoted by z. i.e.…

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3D Spaces: Addition and Subtraction in Cubic Areas

3D Spaces: Addition and Subtraction in Cubic Areas 150 150 SchoolTutoring Academy

Sum of cubes: We can factorize an expression involving sum of cubes using the following formula. a3 + b3 = (a+b) (a2 – ab + b2) Example 1: Factorize the…

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