JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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Analyzing +4 | -1

d,\;e,\;f

are in G.P. and the two quadratic equations

a{x^2} + 2\;bx + c = 0

and

d{x^2} + 2\;ex + f = 0

have a common root, then

View answer and explanation

Correct option: A

\frac{d}{a},\frac{e}{b},\frac{f}{c}

are in H.P.

Option A (

\frac{d}{a},\frac{e}{b},\frac{f}{c}

are in H.P.) is correct because the common root condition and the G.P. condition for

d, e, f

lead to the conclusion that

\frac{d}{a},\frac{e}{b},\frac{f}{c}

are in H.P.

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\frac{3}{4}