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Question: Answered & Verified by Expert
If one end of a focal chord AB of the parabola y2=8x is at A12,-2, then the equation of the tangent to it at B is:
MathematicsParabolaJEE MainJEE Main 2020 (09 Jan Shift 2)
Options:
  • A 2x+y-24=0
  • B x-2y+8=0
  • C x+2y+8=0
  • D 2x-y-24=0
Solution:
2339 Upvotes Verified Answer
The correct answer is: x-2y+8=0
Let 12,-2 is 2t2,4tt=-12

Parameter of other end of focal chord is t=2

 Point is 8,8

 Equation of tangent is 8y-4x+8=0

2y-x=8

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