The slope of the normal at the point (at2, 2at) of the parabola y2 = 4ax is

Question

The slope of the normal at the point (at2, 2at) of the parabola y2 = 4ax is (A) (1/t) (B) t (C) -t (D) -(1/t)

Tardigrade Admin · Accepted Answer

Tangent at 't' is ty= x+at2 Slope of the tangent = (1/t) ∴ slope of normal = -t

Q. The slope of the normal at the point $(a t^{2}, 2 a t)$ of the parabola $y^{2} = 4 a x$ is