[MPG] Mass Point Geometry : Tricks for Triangles for CAT Exam

Introduction to Mass Point Geometry [MPG] Mass point Geometry (MPG) is a technique borrowed from the concepts of physics which we apply to solve many complex problems involving triangles and intersecting lines. The technique is easy to understand and apply. MPG technique also simplifies calculations of ratios in geometric figures in an intuitive way by […]

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Application of Binomial Theorem for Finding Integral Solutions

binomial theorem

Binomial Theorem The formula by which any positive integral power of a binomial expression can be expanded in the form of a series is known as Binomial Theorem. (x + y)n = nC0 xn + nC1 xn-1 y + nC2 xn-2 y2+ ……………..+ nCn yn e.g:  (a+b)3= 3C0a3 + 3C1a2b+3C2ab2 + 3C3b3 = a3 + 3a2b + 3ab2 +b3 Note The number of terms in the expansion of (x+ y)n is (n + 1) e. one […]

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