jee-main 2021 Q69

jee-main · India · session3_25jul_shift2 Conic sections Circle-Conic Interaction with Tangency or Intersection

If a tangent to the ellipse $x ^ { 2 } + 4 y ^ { 2 } = 4$ meets the tangents at the extremities of its major axis at $B$ and $C$, then the circle with $B C$ as diameter passes through the point.
(1) $( \sqrt { 3 } , 0 )$
(2) $( \sqrt { 2 } , 0 )$
(3) $( 1,1 )$
(4) $( - 1,1 )$

If a tangent to the ellipse $x ^ { 2 } + 4 y ^ { 2 } = 4$ meets the tangents at the extremities of its major axis at $B$ and $C$, then the circle with $B C$ as diameter passes through the point.\\
(1) $( \sqrt { 3 } , 0 )$\\
(2) $( \sqrt { 2 } , 0 )$\\
(3) $( 1,1 )$\\
(4) $( - 1,1 )$

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