JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

1 Hard

1 of 1

Analyzing +4 | -1

Suppose

a,\;b,\;c

are in AP and

{a^2},\;{b^2},\;{c^2}

are in GP. If

a < b < c

and

a + b + c = \frac{3}{2}

, then the value of

a

View answer and explanation

Correct option: D

\frac{1}{2} - \frac{1}{{\sqrt 2 }}

Option D (

\frac{1}{2} - \frac{1}{{\sqrt 2 }}

) is correct because solving the given conditions for AP and GP leads to this value for a.

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\frac{3}{4}