JEE Advance - Mathematics (1982 - No. 34)
$$A$$ is point on the parabola $${y^2} = 4ax$$. The normal at $$A$$ cuts the parabola again at point $$B$$. If $$AB$$ subtends a right angle at the vertex of the parabola. Find the slope of $$AB$$.
$$\sqrt{2}$$
$$-\sqrt{2}$$
$$\pm \sqrt{2}$$
$$2$$
$$-2$$