A hyperbola passes through the point P( 2 , 3 ) and has foci at ( 2,0) . Then the tangent…

Mathematics · JEE Main · NTA ExamsCo-ordinate Geometry

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. \((2 \sqrt{2}, 3 \sqrt{3})\)
  2. \((\sqrt{3}, \sqrt{2})\)
  3. \((-\sqrt{2},-\sqrt{3})\)
  4. \((3 \sqrt{2}, 2 \sqrt{3})\)

Answer

(A) (2 2 , 3 3 )

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