If x=t^2 and y=2t are parametric equations of a curve, then equation of the normal to the curve at t =2 is

Question

Accepted Answer

Correct answer: C. (c) : Given x=t^2 ,y=2t So, equation of curve is y^2=4x At t=2 ,x=4 and y=4 Now slope of normal to the curve at (4 ,4 ) is ( 1- dy dx )_ (4 ,4 )=(- 1 2y)_ (4 ,4 )= -42=-2 Equation of normal at (4 ,4 ) is y-4=-2 (x-4 ) ⇒y-4=-2x+8 ⇒2x+y-12=0

$If x = t^{2} and y = 2 t are parametric equations of a curve, then equation of the normal to the curve at t = 2 is$

Solution

More Application of Derivatives PYQs