The angle between tangents to the parabola y^ | vedclass

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(D) The equation of the parabola is $y^2 = 4ax$. The focus of this parabola is at $(a, 0)$.Substituting the coordinates of the focus $(a, 0)$ into the

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$\frac{\pi}{2}$

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(D) The equation of the parabola is $y^2 = 4ax$. The focus of this parabola is at $(a, 0)$.Substituting the coordinates of the focus $(a, 0)$ into the line equation $x - y - a = 0$,we get $a - 0 - a = 0$,which is $0 = 0$.Since the line passes through the focus,it is a focal chord of the parabola.It is a standard property of parabolas that the tangents drawn at the endpoints of any focal chord intersect at a right angle $(\frac{\pi}{2})$ on the directrix.Therefore,the angle between the tangents is $\frac{\pi}{2}$.

The angle between tangents to the parabola $y^2 = 4ax$ at the points where it intersects with the line $x - y - a = 0$ is

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