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For what possible value of x are the numbers - 2/7, x, - 7/2 are in a GP ?

For what possible value of x are the numbers - 2/7, x, - 7/2 are in a GP ? Correct Answer Both 1 and 2

CONCEPT:

If a, b and c are in a GP then b2 = ac

CALCULATION:

Given: The numbers - 2/7, x, - 7/2 are in GP

As we know that, if a, b and c are in GP then b2 = ac

Here, a = - 2/7, b = x and c = - 7/2

⇒ x2 = (-2/7) × (-7/2) = 1

⇒ x = ± 1

Hence, correct option is 3.

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