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If x, y and z are in G.P., then the relation between x, y and z can be:

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Question

If x, y and z are in G.P., then the relation between x, y and z can be:

Options

  • y = x + z

  • y = xz

  • 2y = x + z

  • $$y = \sqrt{xz}$$

MCQ
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Solution

`bb(y = sqrt(xz))`

Explanation: 

The general G.P. condition is $$y^2 = xz$$, which gives $$y = \sqrt{xz}$$ when the middle term is nonnegative.

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Chapter 11: Geometric Progression - COMPETENCY-FOCUSED QUESTIONS [Page 183]

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R.S. Aggarwal Mathematics [English] Class 10 ICSE
Chapter 11 Geometric Progression
COMPETENCY-FOCUSED QUESTIONS | Q 25. | Page 183
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