jee-main 2021 Q63

jee-main · India · session1_24feb_shift1 Addition & Double Angle Formulae Trigonometric Equation Solving via Identities
If $e ^ { \cos ^ { 2 } x + \cos ^ { 4 } x + \cos ^ { 6 } x + \ldots \infty \log _ { e } 2 }$ satisfies the equation $t ^ { 2 } - 9 t + 8 = 0$, then the value of $\frac { 2 \sin x } { \sin x + \sqrt { 3 } \cos x }$, where $0 < x < \frac { \pi } { 2 }$, is equal to
(1) $\frac { 3 } { 2 }$
(2) $\frac { 1 } { 2 }$
(3) $\sqrt { 3 }$
(4) $2 \sqrt { 3 }$ 
If $e ^ { \cos ^ { 2 } x + \cos ^ { 4 } x + \cos ^ { 6 } x + \ldots \infty \log _ { e } 2 }$ satisfies the equation $t ^ { 2 } - 9 t + 8 = 0$, then the value of $\frac { 2 \sin x } { \sin x + \sqrt { 3 } \cos x }$, where $0 < x < \frac { \pi } { 2 }$, is equal to\\
(1) $\frac { 3 } { 2 }$\\
(2) $\frac { 1 } { 2 }$\\
(3) $\sqrt { 3 }$\\
(4) $2 \sqrt { 3 }$
Paper Questions
Q61 Q62 Q63 Q64 Q65 Q66 Q67 Q68 Q69 Q70