KCET · Maths · Parabola
The tangents drawn at the extremeties of a focal chord of the parabola \(y^{2}=16 x\)
- 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 \(45^{\circ}\)
Answer & Solution
Correct Answer
(B) intersect on the line \(x+4=0\)
Step-by-step Solution
Detailed explanation
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.
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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