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Tangents drawn from the point (−8, 0) to the parabola y^{2}=8x touch the parabola at P and Q. If F is the focus of the parabola, then the area of the triangle PFQ (in sq. units) is equal to :

  • Option 1)

    24

  • Option 2)

    32

  • Option 3)

    48

  • Option 4)

    64

 

Answers (1)

best_answer

As we learned,

 

Standard equation of parabola -

y^{2}=4ax

- wherein

 

 

Equation of COC PQ is

T = 0

T\equiv 4\left ( x+x_{1} \right )-yy_{1}=0

Where \left ( x_{1},y_{1} \right ) is \left ( -8,0 \right )

Chord of contact is x = 8

P(8,8)  and  Q(8,-8)

focus = (2,0)

\bigtriangleup PQF=\frac{1}{2}\left ( 8-2 \right )\times \left ( 8+8 \right )=48 sq units.


Option 1)

24

Option 2)

32

Option 3)

48

Option 4)

64

Posted by

Himanshu

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