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

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deepaksoniGuru

Asked: March 18, 20212021-03-18T13:36:50+05:30 2021-03-18T13:36:50+05:30In: ICSE

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

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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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AAREKH · Answer 1 · 2021-03-20T11:35:50+05:30

AAREKH Guru

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.