Let $\theta, 0 < \theta < \pi / 2$, be an angle such that the equation $x ^2+4 x \cos \theta+\cot \theta=0$ has equal roots for $x$. Then $\theta$ in radians is
Let $\theta, 0 < \theta < \pi / 2$, be an angle such that the equation $x ^2+4 x \cos \theta+\cot \theta=0$ has equal roots for $x$. Then $\theta$ in radians is
- [KVPY 2021]
- A
$\frac{\pi}{6}$ only
- B
$\frac{\pi}{12}$ or $\frac{5 \pi}{12}$
- C
$\frac{\pi}{6}$ or $\frac{5 \pi}{12}$
- D
$\frac{\pi}{12}$ only
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