Question

Angle between the tangents drawn from the origin to the parabola $y^2=4a(x-a)$ is

• A. ${30}^{\circ }$
• B. ${45}^{\circ }$
• C. ${60}^{\circ }$
• D. ${90}^{\circ }$

Answer 1

The correct option is D ${90}^{\circ }$

Since the parabola is $y^2=4a(x-a)$
Here, the vertex is $(a,0)$
The equation of directrix will be $x-a=-a\Rightarrow x=0$
Since the pair of tangents drawn from any point on directrix are perpendicular to each other.
Therefore, angle between them is ${90}^{\circ }$