Surface Area of a Right Circular Cone – Definition – Formula – Example                          Right Circular Cone  Definition:  (1)  The surface area of a cone is sum of area of its base and lateral(side) surface. (2)  The Lateral Surface Area of a cone is area of its […]

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If a transversal intersect two parallel lines, then each pair of interior angles on the Same side of the transversal are Supplementary. Given: Two parallel Lines AB and CD, and PS be transversal intersecting AB at Q and CD at R. To Prove: Sum of interior angles on the Same side of the transversal is Supplementary. […]

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Irrational Numbers – Definition, Examples, Properties Definition and Properties of Irrational Numbers  Irrational Numbers  An irrational number is a real number that cannot be expressed as a simple fraction, i.e., it cannot be written in the form a/b, where a and b are integers and b≠0. This means irrational numbers have non terminating, non-repeating decimal […]

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Equivalent Fraction  Definition: Equivalent fractions are the fractions that have different numerator and denominators but represent the same or equal value. Example: 1/2, 2/4, 3/6 and 4/8 all are equivalent fractions, because they all are equal to 1/2. Similarly 10/20, 20/40, 30/60 and 40/80 all are equivalent fractions, because they all are equal to 1/2. […]

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Decimal Expansions of Real Numbers There are three types of decimal expansions of real numbers. 1.Terminating 2. Non Terminating, Repeating 3. Non Terminating, Non Repeating 1.(Terminating) The remainder becomes zero. Let us take examples to know it. Example 1: Expansion of  7/4 In the example of  7/4   we found that after some steps the remainder becomes zero and the decimal […]

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Simplification Fractions -Rule What is Simplest Form form of a Fraction The simplest form of a fraction, also known as the reduced form or lowest terms, is when the numerator (the top number) and the denominator (the bottom number) of the fraction have no common factors other than 1. In other words, the fraction is […]

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Solve Square Root Problems To solve square root problems, especially if we’re looking for a simple approach, here are some detailed methods we can consider: 1. Understanding Square Roots The square root of a number ( x ) is a value ( y ) such that ( y2 = x ). For example, the square […]

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Highest Common Factor Definition:   The “Highest Common Factor” (HCF) of two or more numbers is the highest or greatest of their common factors. The HCF of 20, 50, and 30 can also be found by factorization of these numbers as follows, Therefore,                         20 = 2 x 2 x 5   […]

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