Class 12

Math

Calculus

Application of Derivatives

Find the equation of the normal to curve $x_{2}=4y$which passes through the point (1, 2).

slope of normal$=−dxdy 1 =−h2 $

equation of normal$(y−k)=−h2 (x−h)$

$k=2+h2 (1−h)$

$4h_{2} =2+h2 (1−h)$

h=2

k=1

equation of line

(y-1)=-1(x-2)

x+y=3