jee-main 2021 Q66

jee-main · India · session2_16mar_shift2 Conic sections Circle-Conic Interaction with Tangency or Intersection

If the points of intersection of the ellipse $\frac { x ^ { 2 } } { 16 } + \frac { y ^ { 2 } } { b ^ { 2 } } = 1$ and the circle $x ^ { 2 } + y ^ { 2 } = 4b , b > 4$ lie on the curve $y ^ { 2 } = 3x ^ { 2 }$, then $b$ is equal to :
(1) 12
(2) 5
(3) 6
(4) 10

If the points of intersection of the ellipse $\frac { x ^ { 2 } } { 16 } + \frac { y ^ { 2 } } { b ^ { 2 } } = 1$ and the circle $x ^ { 2 } + y ^ { 2 } = 4b , b > 4$ lie on the curve $y ^ { 2 } = 3x ^ { 2 }$, then $b$ is equal to :\\
(1) 12\\
(2) 5\\
(3) 6\\
(4) 10

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