Question

Find the lengths of the tangent, sub-tangent, normal and sub-normal to the curve y2 = 4ax at the point P(at2, 2 at).

Answer 1

The given curve is y2 = 4ax

(i) The length of the tangent

(ii) The length of the sub-tangent

(iii) The length of the normal

(iv) The length of the sub-normal