Let the equation of a curve be x = a(the...

Let the equation of a curve be `x = a(theta + sin theta), y = a (1 - cos theta)`. If `theta` changes at a constant rate k then the rate of change of the slope of the tangent to the curve at `theta = pi//2` is a)`2k// sqrt(3)` b)`k//sqrt(3)` c)k d)none of these

A

`2k// sqrt(3)`

B

`k//sqrt(3)`

C

k

D

none of these

Verified by Experts

The correct Answer is:

D

Similar Questions

Explore conceptually related problems

Find the slope of the normal to the curve y=sintheta at theta=pi/4

Find (dy/dx) if x= k( theta-sin theta), y=k(1+cos theta)

Find the slope of the normal to the curve x=1-a sin theta, y=b cos ^2 theta at theta=pi/2

Prove that (sin2theta)/(1-cos2theta)=cottheta

Prove that sin (3theta)/(1+2cos 2theta)=sin theta .

The number of solutions of cos 2 theta = sin theta in (0, 2pi) is

The slope of the tangent to the curve given x=1-costheta,y=theta-sintheta by at theta=pi/2