jee-main 2022 Q66

jee-main · India · session2_26jul_shift2 Conic sections Tangent and Normal Line Problems

The acute angle between the pair of tangents drawn to the ellipse $2 x ^ { 2 } + 3 y ^ { 2 } = 5$ from the point $(1, 3)$ is
(1) $\tan ^ { - 1 } \frac { 16 } { 7 \sqrt { 5 } }$
(2) $\tan ^ { - 1 } \frac { 24 } { 7 \sqrt { 5 } }$
(3) $\tan ^ { - 1 } \frac { 32 } { 7 \sqrt { 5 } }$
(4) $\tan ^ { - 1 } \frac { 3 + 8 \sqrt { 5 } } { 35 }$

The acute angle between the pair of tangents drawn to the ellipse $2 x ^ { 2 } + 3 y ^ { 2 } = 5$ from the point $(1, 3)$ is\\
(1) $\tan ^ { - 1 } \frac { 16 } { 7 \sqrt { 5 } }$\\
(2) $\tan ^ { - 1 } \frac { 24 } { 7 \sqrt { 5 } }$\\
(3) $\tan ^ { - 1 } \frac { 32 } { 7 \sqrt { 5 } }$\\
(4) $\tan ^ { - 1 } \frac { 3 + 8 \sqrt { 5 } } { 35 }$

Paper Questions

Q1 Q2 Q3 Q4 Q5 Q21 Q22 Q23 Q24 Q61 Q62 Q63 Q64 Q65 Q66 Q67 Q68 Q69 Q70 Q71 Q72 Q73 Q74 Q75 Q76 Q77 Q78