jee-main 2020 Q58

jee-main · India · session2_06sep_shift1 Conic sections Locus and Trajectory Derivation
Which of the following points lies on the locus of the foot of perpendicular drawn upon any tangent to the ellipse, $\frac { x ^ { 2 } } { 4 } + \frac { y ^ { 2 } } { 2 } = 1$ from any of its foci?
(1) $( - 2 , \sqrt { 3 } )$
(2) $( - 1 , \sqrt { 2 } )$
(3) $( - 1 , \sqrt { 3 } )$
(4) $( 1,2 )$ 
Which of the following points lies on the locus of the foot of perpendicular drawn upon any tangent to the ellipse, $\frac { x ^ { 2 } } { 4 } + \frac { y ^ { 2 } } { 2 } = 1$ from any of its foci?\\
(1) $( - 2 , \sqrt { 3 } )$\\
(2) $( - 1 , \sqrt { 2 } )$\\
(3) $( - 1 , \sqrt { 3 } )$\\
(4) $( 1,2 )$
Paper Questions
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