MCQ
The value of ${\sin ^{ - 1}}(\sin 10)$ is
- A$10$
- B$10 - 3\pi $
- ✓$3\pi - 10$
- DNone of these
$\Rightarrow \,0 < 10 - 3\pi < \frac{\pi }{2}$
$ \Rightarrow \,\,\frac{{ - \pi }}{2} < 3\pi - 10 < 0$
$ \Rightarrow \,\,{\sin ^{ - 1}}\left\{ {\sin \,(3\pi - 10)} \right\} = 3\pi - 10$.
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$l_1: \overrightarrow{ r }=(\hat{ i }-11 \hat{ j }-7 \hat{ k })+\lambda(\hat{ i }+2 \hat{ j }+3 \hat{ k }), \lambda \in R$
and $l_2: \overrightarrow{ r }=(-\hat{ i }+\hat{ k })+\mu(2 \hat{ i }+2 \hat{ j }+\hat{ k }), \mu \in R$.
If $P$ is the point of intersection of $l$ and $l_1$, and $Q (\alpha$ $, \beta, \gamma)$ is the foot of perpendicular from $P$ on $l_2$, then $9(\alpha+\beta+\gamma)$ is equal to $..........$.