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Q.

Tangents are to be drawn to the hyperbola 4x2y2=36 at the points P and Q. If these  tangents intersect at the point  T(0,3)  then the area (in sq. units) of the  ΔPTQ  is  A then  the value of   A5 is ___

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answer is 45.

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Detailed Solution

Now, PQ is the chord of contact is  y=12 
  P=(35,12)             TR=3+12=15
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  Area of  ΔPQT=12×TR×PQ                =12×15×65=455 sq.units 

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