Find the equation of normals of the following curves at the given points:
(i) Curve`y^(2)=4 ax" at point "(at^(2), 2at)`.
(ii) Curve `y= e^(x)" at point "(0, 1)`
(iii) Curve `y = x^(3)" at point "(1, 1)`.
(iv) Curve `2y = 3 - x^(2)" at point "(1, 1)`.
(v) Curve `16x^(2)-9y^(2) = 432` at point (6, 4).

Answer

(i)`y+tx=2 at+at^(3)" "(ii) x+y=1`
(iii)`x+3y=4" "(iv)x=y`
(v)`3x+8y=50`