Mathematics · 2020
JEE Main · 3 September 2020, Shift 1 · Q52
If α and β are the roots of the equation x^2+ p x+2=0 and 1/(α) and 1/(β) are the roots of the equation 2 x^2+2 q x+1=0, then…
If $\displaystyle \alpha$ and $\displaystyle \beta$ are the roots of the equation $\displaystyle x^2+\mathrm{p} x+2=0$ and $\displaystyle \frac{1}{\alpha}$ and $\displaystyle \frac{1}{\beta}$ are the roots of the equation $\displaystyle 2 x^2+2 \mathrm{q} x+1=0$, then $\displaystyle \left(\alpha-\frac{1}{\alpha}\right)\left(\beta-\frac{1}{\beta}\right)\left(\alpha+\frac{1}{\beta}\right)\left(\beta+\frac{1}{\alpha}\right)$ is equal to :
Official answer
(1)
$\displaystyle \frac{9}{4}\left(9-\mathrm{p}^2\right)$
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JEE Main 2020 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.