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The parabolas : \(a x^2+2 b x+c y=0\) and \(d x^2+2 e x+f y=0\) intersect on the line \(y=1\). If \(a, b, c, d, e, f\) a…

Q1

The parabolas : \(a x^2+2 b x+c y=0\) and \(d x^2+2 e x+f y=0\) intersect on the line \(y=1\). If \(a, b, c, d, e, f\) are positive real numbers and \(a, b, c\) are in G.P., then

a

\(d, e, f\) are in A.P.

b

\(\frac{d}{a}, \frac{e}{b}, \frac{f}{c}\) are in G.P.

c

\(\frac{d}{a}, \frac{e}{b}, \frac{f}{c}\) are in A.P.

d

\(d, e, f\) are in G.P.

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