jee-main 2017 Q73

jee-main · India · 09apr Conic sections Tangent and Normal Line Problems

A hyperbola passes through the point $P ( \sqrt { 2 } , \sqrt { 3 } )$ and has foci at $( \pm 2 , 0 )$. Then the tangent to this hyperbola at $P$ also passes through the point:
(1) $( 3 \sqrt { 2 } , 2 \sqrt { 3 } )$
(2) $( 2 \sqrt { 2 } , 3 \sqrt { 3 } )$
(3) $( \sqrt { 3 } , \sqrt { 2 } )$
(4) $( - \sqrt { 2 } , - \sqrt { 3 } )$

A hyperbola passes through the point $P ( \sqrt { 2 } , \sqrt { 3 } )$ and has foci at $( \pm 2 , 0 )$. Then the tangent to this hyperbola at $P$ also passes through the point:\\
(1) $( 3 \sqrt { 2 } , 2 \sqrt { 3 } )$\\
(2) $( 2 \sqrt { 2 } , 3 \sqrt { 3 } )$\\
(3) $( \sqrt { 3 } , \sqrt { 2 } )$\\
(4) $( - \sqrt { 2 } , - \sqrt { 3 } )$

Paper Questions

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