Day 559: JEE Mains Maths

1. A.
   the curve $C_{1}$ lies inside $C_{2}$
2. B.
   the curve $C_{2}$ lies inside $C_{1}$
3. C.
   the curves $C_{1}$ and $C_{2}$ intersect at 4 points
4. D.
   the curves $C_{1}$ and $C_{2}$ intersect at 2 points

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1. A.
   $\frac{1}{18}\left\lbrack 9 - 2\sin^{6}\theta - 3\sin^{4}\theta - 6\sin^{2}\theta \right\rbrack^{\frac{3}{2}} + c$
2. B.
   $\frac{1}{18}\left\lbrack 11 - 18\sin^{2}\theta + 9\sin^{4}\theta - 2\sin^{6}\theta \right\rbrack^{\frac{3}{2}} + c$
3. C.
   $\frac{1}{18}\left\lbrack 11 - 18\cos^{2}\theta + 9\cos^{4}\theta - 2\cos^{6}\theta \right\rbrack^{\frac{3}{2}} + c$
4. D.
   $\frac{1}{18}\left\lbrack 9 - 2\cos^{6}\theta - 3\cos^{4}\theta - 6\cos^{2}\theta \right\rbrack^{\frac{3}{2}} + c$

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