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CBSE 10th Mathematics | Arithmetic Progressions | Sum of n terms of an Arithmetic Progression

Sum of n terms of an Arithmetic Progression  Let a be the first term and d be the common difference…

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CBSE 10th Mathematics | Arithmetic Progressions | nth Term of an Arithmetic Progression

nth Term of an Arithmetic Progression     Let $latex \displaystyle {{a}_{1}},{{a}_{2}},{{a}_{3}}$…….. be an A.P., with first term as a, and common…

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CBSE 10th Mathematics | Arithmetic Progressions | Sequence and Series

Sequence and Series  Sequence: A sequence is an arrangement of number in a definite order, according to a definite rule.…

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CBSE 10th Mathematics | Applications of Quadratic Equations

Applications of Quadratic Equations  Problem:      The sum of two numbers is 15. If the sum of their reciprocals is $latex…

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CBSE 10th Mathematics | Nature of Roots of a Quadratic Equation

Nature of Roots of a Quadratic Equation     In previous section, we have studied that the roots of the equation $latex…

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CBSE 10th Mathematics | Solution of a Quadratic Equation by Completing the Square

Solution of a Quadratic Equation by Completing the Square      Following steps are involved in solving a quadratic equation by quadratic…

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CBSE 10th Mathematics | Solution of a Quadratic Equation by Factorisation

Solution of a Quadratic Equation by Factorisation      Consider the following products.         $latex \displaystyle 6\times 0=0;\,\,-b\times 0=0,\,\,0\times a=0$     Above example illustrate…

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CBSE 10th Mathematics | Introduction of Quadratic Equation

Introduction of Quadratic Equation A polynomial of degree 2 (i.e.$latex \displaystyle a{{x}^{2}}+bx+c$) is called a quadratic polynomial where a ¹…

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CBSE 10th Mathematics | Division Algorithm for Polynomials

Division Algorithm for Polynomials Let $latex \displaystyle p(x)$ and $latex \displaystyle g(x)$ be polynomials of degree n and m respectively…

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CBSE 10th Mathematics | Relation Between The Zeros And The Coefficients Of A Polynomial

Relation Between The Zeros And The Coefficients Of A Polynomial  1.    Quadratic polynomial: $latex \displaystyle a{{x}^{2}}+bx+c=0$;     a ¹ 0.     Let a,…

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