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Question: Answered & Verified by Expert
If x=3 is the chord of contact of the circle x2+y2=81, then the equation of the corresponding pair of tangents, is
MathematicsCircleJEE Main
Options:
  • A x 2 - 8 y 2 + 5 4 x + 7 2 9 = 0
  • B x 2 - 8 y 2 - 5 4 x + 7 2 9 = 0
  • C x 2 - 8 y 2 - 5 4 x - 7 2 9 = 0
  • D x 2 - 8 y 2 = 7 2 9
Solution:
1975 Upvotes Verified Answer
The correct answer is: x 2 - 8 y 2 - 5 4 x + 7 2 9 = 0
Put x=3 in the equation of circle to get the point of contact, y=±6 2

Hence, equation of the pair of tangents is

  3 x + 6 2 y - 8 1 3 x - 6 2 y - 8 1 = 0

x - 2 7 2 - 8 y 2 = 0

x 2 - 54 x - 8 y 2 + 7 2 9 = 0


        

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