jee-main 2021 Q67

jee-main · India · session4_01sep_shift2 Circles Intersection of Circles or Circle with Conic

Let $\theta$ be the acute angle between the tangents to the ellipse $\frac { x ^ { 2 } } { 9 } + \frac { y ^ { 2 } } { 1 } = 1$ and the circle $x^2 + y^2 = 3$ at their points of intersection. Then $\tan\theta$ is equal to:
(1) $\frac{4}{\sqrt{3}}$
(2) $\frac{2}{\sqrt{3}}$
(3) $2$
(4) $\frac{5}{2\sqrt{3}}$

Let $\theta$ be the acute angle between the tangents to the ellipse $\frac { x ^ { 2 } } { 9 } + \frac { y ^ { 2 } } { 1 } = 1$ and the circle $x^2 + y^2 = 3$ at their points of intersection. Then $\tan\theta$ is equal to:\\
(1) $\frac{4}{\sqrt{3}}$\\
(2) $\frac{2}{\sqrt{3}}$\\
(3) $2$\\
(4) $\frac{5}{2\sqrt{3}}$

Paper Questions

Q3 Q4 Q5 Q7 Q10 Q13 Q16 Q21 Q22 Q23 Q24 Q25 Q26 Q27 Q28 Q29 Q30 Q61 Q62 Q63 Q64 Q65 Q66 Q67