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If x, y, z are in continued proportion, prove that: (x + y)2/ (y + z)2 = x/z.

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exam oriented an important question from ML aggarwal, class 10th, chapter 7, ratio and proportion, Avichal publication

This question has been asked in 2010

It is given that x, y, z are in continued proportion,

prove we have to prove that: (x + y)2/ (y + z)2 = x/z.

Question no. 20, 7.2

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  1. Solution:

    It is given that

    x, y, z are in continued proportion

    Consider x/y = y/z = k

    So we get

    y = kz

    x = yk = kz × k = k2z

    ML Aggarwal Solutions for Class 10 Chapter 7 Image 25

    ML Aggarwal Solutions for Class 10 Chapter 7 Image 26

    Therefore, LHS = RHS.

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