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Question: Answered & Verified by Expert
The tangents drawn at the extremities of a focal chord of the parabola $y^{2}=16 x$
MathematicsParabolaCOMEDKCOMEDK 2019
Options:
  • A intersect on $x=0$
  • B intersect on the line $x+4=0$
  • C intersect at an angle of $60^{\circ}$
  • D intersect at an angle of $45^{\circ}$
Solution:
1331 Upvotes Verified Answer
The correct answer is: intersect on the line $x+4=0$
The tangent at the extremities of a focal chord of a parabola intersect at right angles on the directrix.
Now, equation of parabola is $y^{2}=16 x$.
So, its directrix is $x=-4$ or $x+4$.
So, tangent intersect on the line $x+4=0$.

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