jee-main 2020 Q63

jee-main · India · session1_09jan_shift2 Parametric differentiation
If $x = 2 \sin \theta - \sin 2 \theta$ and $y = 2 \cos \theta - \cos 2 \theta , \theta \in [ 0,2 \pi ]$, then $\frac { d ^ { 2 } y } { d x ^ { 2 } }$ at $\theta = \pi$ is:
(1) $\frac { 3 } { 4 }$
(2) $- \frac { 3 } { 8 }$
(3) $\frac { 3 } { 2 }$
(4) $- \frac { 3 } { 4 }$
If $x = 2 \sin \theta - \sin 2 \theta$ and $y = 2 \cos \theta - \cos 2 \theta , \theta \in [ 0,2 \pi ]$, then $\frac { d ^ { 2 } y } { d x ^ { 2 } }$ at $\theta = \pi$ is:\\
(1) $\frac { 3 } { 4 }$\\
(2) $- \frac { 3 } { 8 }$\\
(3) $\frac { 3 } { 2 }$\\
(4) $- \frac { 3 } { 4 }$