MCQ
If $\tan \theta = \frac{{ - 4}}{3},$ then $\sin \theta = $
- A$-4/5$ but not $4/5$
- ✓$-4/5 $ or $4/5$
- C$4/5$ but not $-4/5$
- DNone of these
$\left( \because {\tan \theta = - \frac{4}{3}} \right)$
${\sin ^2}\theta = \frac{1}{{{\rm{cose}}{{\rm{c}}^2}\theta }} = \frac{{16}}{{25}} $
$\Rightarrow \sin \theta = \pm \frac{4}{5},$
Both the values are acceptable, since $\tan \theta = - \frac{4}{3}\,\,$
$\,i.e.,\theta $ lies in ${2^{nd}}$ or ${4^{th}}$ quadrant.
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Circle $M : x ^{2}+ y ^{2}=1$ ; Circle $N : x ^{2}+ y ^{2}-2 x =0$ ; Circle $O : x ^{2}+ y ^{2}-2 x -2 y +1=0$ ;Circle $P: x^{2}+y^{2}-2 y=0$
If the centre of circle $M$ is joined with centre of the circle $N$, further centre of circle $N$ is joined with centre of the circle $O ,$ centre of circle $O$ is joined with the centre of circle $P$ and lastly, centre of circle $P$ is joined with centre of circle $M ,$ then these lines form the sides of a