question_answer 54)

Find the equation of the tangent and normal to the parabola y2 = 4ax at (at2, 2at) 

Answer:

Given curve :             y2 = 4ax                        ? (1)                   m = slope of tangent to (1)                    Equation of tangent to (1) at (at2, 2at) is             y ?2at = m (x ? at2)                                   and equation of normal to (1) at (at2, 2at) is                   y ? 2at = ? t (x ? at2)       tx + y = at3 + 2at.