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If y be the reciprocal of x, then the reciprocal of y2 in terms of x will be ______. - Mathematics

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Question

If y be the reciprocal of x, then the reciprocal of y2 in terms of x will be ______.

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Solution

If y be the reciprocal of x, then the reciprocal of y2 in terms of x will be x2.

Explanation:

Given, `1/x = y`  ...(i)

Now, reciprocal of `y^2 = 1/y^2 = 1/(1/x)^2`  ...[From equation (i)]

= x2 

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Chapter 1: Rational Numbers - Exercise [Page 13]

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NCERT Exemplar Mathematics [English] Class 8
Chapter 1 Rational Numbers
Exercise | Q 33. | Page 13

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