Mathematics · 2019
JEE Main · 8 April 2019, Shift 2 · Q68
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…
If three distinct numbers $\displaystyle \mathrm{a}, \mathrm{b}, \mathrm{c}$ are in G.P. and the equations $\displaystyle \mathrm{a} x^2+2 \mathrm{~b} x+\mathrm{c}=0$ and $\displaystyle \mathrm{d} x^2+2 \mathrm{e} x+\mathrm{f}=0$ have a common root, then which one of the following statements is correct ?
Official answer
(4)
$\displaystyle \frac{\mathrm{d}}{\mathrm{a}}, \frac{\mathrm{e}}{\mathrm{~b}}, \frac{\mathrm{f}}{\mathrm{c}} \text { are in A.P. }$
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JEE Main 2019 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.