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If $\sin \alpha=p$, then the quadratic equation whose roots are $\tan \frac{\alpha}{2}, \cot \frac{\alpha}{2}$ is
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1112 Upvotes
Verified Answer
The correct answer is:
$p x^2-2 x+p=0$
and product of roots $=\tan \frac{\alpha}{2} \times \cot \frac{\alpha}{2}=1$
So, equation required quadratic equation
$$
x^2-\frac{2}{p} x+1=0 \Rightarrow p x^2-2 x+p=0
$$
Hence, option (a) is correct.
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