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Question: Answered & Verified by Expert
The tangents drawn at the extremeties of a focal chord of the parabola $y^{2}=16 x$
MathematicsParabolaKCETKCET 2008
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:
1895 Upvotes Verified Answer
The correct answer is: intersect on the line $x+4=0$
Given equation is $y^{2}=16 x$
Here, $\quad a=4$
As we know, that if tangents are drawn from an external points of a focal chord, then it will intersect on the directrix of the parabola.
$\therefore$ Equation of directrix is
$$
x=-4
$$
or
$x+4=0$
Which is the required equation.

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