Home
Class 12
MATHS
The length of normal to the curve x=a(th...

The length of normal to the curve `x=a(theta+sin theta), y=a(1-cos theta),` at `theta=(pi)/(2)` is

A

2a

B

a unit from origin

C

`sqrt2a`

D

`2sqrt2a`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Similar Questions

Explore conceptually related problems

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

Find the slope of the normal to the curve x = a cos^(3)theta, y=a sin^(3)theta at theta = (pi)/(4) .

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

The angle to the given by x = e ^(theta) cos theta, y = e ^(theta) sin theta at theta = ( pi)/(4) makes an angle with X-axis is___

Show that (cosec theta -cot theta )^(2) =(1-cos theta )/( 1+cos theta )

Show that the normal at any point theta to the curve x = a cos theta + a theta sin theta, y = a sin theta - a theta cos theta is at the constant distance from origin.

If sin^(100) theta - cos^(100) theta =1 , then theta is

If f (theta) = |sin theta| + |cos theta|, theta in R , then

The number of solutions of cot(5pi sin theta )=tan (5 pi cos theta ), AA theta in (0,2pi) is