A) 48
B) 32
C) 24
D) 64
Correct Answer: A
Solution :
Equation of the chord of contact PQ is given by \[T=0\] \[T\equiv 4(x+{{x}_{1}})-y{{y}_{1}}=0,\] where \[({{x}_{1}},{{y}_{1}})\equiv (-8,0)\] \[\therefore \] chord of contact is \[x=8\] Coordinates of point P and Q are \[(8,8)\] and \[(8,-8)\] Focus of the parabola is \[F(2,0)\] Area of triangle \[PQF=\frac{1}{2}\times (8-2)\times (8+8)=48sq.\text{units}\]You need to login to perform this action.
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