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Point of Intersection of Two Lines – Formula and Example

Here you will learn how to find point of intersection of two lines with examples. Let’s begin – How to find Point of Intersection of Two Lines Let the equations of two lines be \(a_1x + b_1y + c_1\) = 0 and,  \(a_2x + b_2y + c_2\) = 0 Suppose these two lines intersect at …

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Method of Difference – Sequences and Series

Here you will learn method of difference in sequences and series with examples. Let’s begin – Method of Difference Some times the \(n^{th}\) term of a sequence or a series can not be determined by the method, we have discussed earlier. So we compute the difference between the successive terms of given sequence for obtained …

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Sum of GP to Infinity – Example and Proof

Here you will learn sum of gp to infinity (sum of infinite gp) and its proof with examples. Let’s begin – Sum of GP to Infinity (Sum of Infinite GP) The sum of an infinite GP with first term a and common ratio r(-1 < r < 1 i.e. ,  | r | < 1) …

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Formula for Arithmetic Progression (AP)

Here you you will learn what is arithmetic progression (AP) and formula for arithmetic progression. Let’s begin – Arithmetic Progression (AP) A sequence is called an arithmetic progression if the difference of a term and the previous term is always same  i.e.  \(a_{n+1}\) – \(a_n\) = constant (=d) for all n \(\in\) N The constant …

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What is AGP – How to Solve AGP Series

Here you will learn what is agp (Arithmetico Geometric Series) and how to solve agp series. Let’s begin – What is AGP (Arithmetico – Geometric series) A series, each term of which is formed by multiplying the corresponding term of an A.P. & G.P. is called the Arithmetico-Geometric Series, e.g. 1 + 3x + 5\(x^2\) …

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Integration by Partial Fraction Formula

Here you will learn integration by partial fraction formula and integration of irrational functions. Let’s begin – Integration by Partial Fraction Formula (i) Integration of Rational Functions S.No form of rational function form of partial fraction 1 \(px^2+qx+r\over {(x-a)(x-b)(x-c)}\) \(A\over {x-a}\) + \(B\over {x-b}\) + \(C\over {x-c}\) 2 \(px^2+qx+r\over {{(x-a)}^2(x-b)}\) \(A\over {x-a}\) + \(B\over {(x-a)}^2\) …

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