jee-main 2019 Q67

jee-main · India · session1_10jan_shift1 Quadratic trigonometric equations
The sum of all values of $\theta \in \left( 0 , \frac { \pi } { 2 } \right)$ satisfying $\sin ^ { 2 } 2 \theta + \cos ^ { 4 } 2 \theta = \frac { 3 } { 4 }$ is
(1) $\frac { \pi } { 2 }$
(2) $\frac { 3 \pi } { 8 }$
(3) $\frac { 5 \pi } { 4 }$
(4) $\pi$
The sum of all values of $\theta \in \left( 0 , \frac { \pi } { 2 } \right)$ satisfying $\sin ^ { 2 } 2 \theta + \cos ^ { 4 } 2 \theta = \frac { 3 } { 4 }$ is\\
(1) $\frac { \pi } { 2 }$\\
(2) $\frac { 3 \pi } { 8 }$\\
(3) $\frac { 5 \pi } { 4 }$\\
(4) $\pi$