MCQ
The angle between tangents to the parabola ${y^2} = 4ax$ at the points where it intersects with the line $x - y - a = 0$, is
- A$\frac{\pi }{3}$
- B$\frac{\pi }{4}$
- C$\frac{\pi }{6}$
- ✓$\frac{\pi }{2}$
✓
Answer
Correct option: D.
$\frac{\pi }{2}$
d
(d) The co-ordinates of the focus of the parabola ${y^2} = 4ax$ are $(a,0)$. The line $x - y - a = 0$ passes through this point. Therefore, it is a focal chord of the parabola. Hence the tangents intersect at right angle.
(d) The co-ordinates of the focus of the parabola ${y^2} = 4ax$ are $(a,0)$. The line $x - y - a = 0$ passes through this point. Therefore, it is a focal chord of the parabola. Hence the tangents intersect at right angle.
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