jee-main 2023 Q68

jee-main · India · session2_10apr_shift2 Conic sections Circle-Conic Interaction with Tangency or Intersection

Let a circle of radius 4 be concentric to the ellipse $15 x ^ { 2 } + 19 y ^ { 2 } = 285$. Then the common tangents are inclined to the minor axis of the ellipse at the angle
(1) $\frac { \pi } { 3 }$
(2) $\frac { \pi } { 4 }$
(3) $\frac { \pi } { 6 }$
(4) $\frac { \pi } { 12 }$

Let a circle of radius 4 be concentric to the ellipse $15 x ^ { 2 } + 19 y ^ { 2 } = 285$. Then the common tangents are inclined to the minor axis of the ellipse at the angle\\
(1) $\frac { \pi } { 3 }$\\
(2) $\frac { \pi } { 4 }$\\
(3) $\frac { \pi } { 6 }$\\
(4) $\frac { \pi } { 12 }$

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