A hyperbola passes through the point P (2, 3) and has foci at (± 2,0). Then the tangent to this hyperbola at P also passes through the point:

Coordinate Geometry: JEE Main 2017 Mathematics question

JEE Main 2017 · Session, Shift 1 · Q3984

JEE Main 2017Session, Shift 1MathematicsMediumCoordinate Geometry478× since 2002

A hyperbola passes through the point P

\left( {\sqrt 2 ,\sqrt 3 } \right)

and has foci at

\left( { \pm 2,0} \right)

. Then the tangent to this hyperbola at P also passes through the point :

JEE Main 2017 · Session, Shift 1 · Q3984

JEE Main 2017Session, Shift 1MathematicsMediumCoordinate Geometry478× since 2002

A hyperbola passes through the point P

\left( {\sqrt 2 ,\sqrt 3 } \right)

and has foci at

\left( { \pm 2,0} \right)

. Then the tangent to this hyperbola at P also passes through the point :