jee-main 2019 Q61

jee-main · India · session2_08apr_shift2 Arithmetic Sequences and Series Arithmetic-Geometric Hybrid Problem

If three distinct numbers $a , b , c$ are in G.P. and the equations $a x ^ { 2 } + 2 b x + c = 0$ and $d x ^ { 2 } + 2 e x + f = 0$ have a common root, then which one of the following statements is correct?
(1) $\frac { d } { a } , \frac { e } { b } , \frac { f } { c }$ are in A.P.
(2) $d , e , f$ are in A.P.
(3) $d , e , f$ are in G.P.
(4) $\frac { d } { a } , \frac { e } { b } , \frac { f } { c }$ are in G.P.

If three distinct numbers $a , b , c$ are in G.P. and the equations $a x ^ { 2 } + 2 b x + c = 0$ and $d x ^ { 2 } + 2 e x + f = 0$ have a common root, then which one of the following statements is correct?\\
(1) $\frac { d } { a } , \frac { e } { b } , \frac { f } { c }$ are in A.P.\\
(2) $d , e , f$ are in A.P.\\
(3) $d , e , f$ are in G.P.\\
(4) $\frac { d } { a } , \frac { e } { b } , \frac { f } { c }$ are in G.P.

Paper Questions

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