Question

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 1

Answer: (B)

intersect on the line x + 4 = 0

Answer 2

Given equation is $y^2 = 16\,x$
Here, $\,\,\,\,\,\,a = 4$
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.