jee-main 2018 Q72

jee-main · India · 08apr Conic sections Triangle or Quadrilateral Area and Perimeter with Foci

Tangents are drawn to the hyperbola $4 x ^ { 2 } - y ^ { 2 } = 36$ at the points $P$ and $Q$. If these tangents intersect at the point $T ( 0,3 )$ then the area (in sq. units) of $\triangle P T Q$ is:
(1) $36 \sqrt { 5 }$
(2) $45 \sqrt { 5 }$
(3) $54 \sqrt { 3 }$
(4) $60 \sqrt { 3 }$

Tangents are drawn to the hyperbola $4 x ^ { 2 } - y ^ { 2 } = 36$ at the points $P$ and $Q$. If these tangents intersect at the point $T ( 0,3 )$ then the area (in sq. units) of $\triangle P T Q$ is:\\
(1) $36 \sqrt { 5 }$\\
(2) $45 \sqrt { 5 }$\\
(3) $54 \sqrt { 3 }$\\
(4) $60 \sqrt { 3 }$

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