jee-main 2021 Q65

jee-main · India · session3_20jul_shift1 Conic sections Triangle or Quadrilateral Area and Perimeter with Foci
Let the tangent to the parabola $S : y ^ { 2 } = 2 x$ at the point $P ( 2,2 )$ meet the $x$-axis at $Q$ and normal at it meet the parabola $S$ at the point $R$. Then the area (in sq. units) of the triangle $P Q R$ is equal to:
(1) $\frac { 25 } { 2 }$
(2) $\frac { 35 } { 2 }$
(3) $\frac { 15 } { 2 }$
(4) 25
Let the tangent to the parabola $S : y ^ { 2 } = 2 x$ at the point $P ( 2,2 )$ meet the $x$-axis at $Q$ and normal at it meet the parabola $S$ at the point $R$. Then the area (in sq. units) of the triangle $P Q R$ is equal to:\\
(1) $\frac { 25 } { 2 }$\\
(2) $\frac { 35 } { 2 }$\\
(3) $\frac { 15 } { 2 }$\\
(4) 25