Q: The angle between tangents to the parabola y2 = 4ax at the points where it intersects with the line x – y – a = 0 is
Sol. The coordinates of the focus of the parabola y2 = 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.
Hence (D) is the correct answer.