True or False: Circle on which the coo...

True or False:
Circle on which the coordinates of any point are `(2+4 cos theta, -1+4 sin theta)`, where `theta` is parameter, is given by `(x-2)^2 +(y+1)^2 = 4^2`.

Similar Questions

Explore conceptually related problems

If the coordinates of a variable point be (cos theta + sin theta, sin theta - cos theta) , where theta is the parameter, then the locus of P is

Find sin 2 theta when sin theta + cos theta= 1 .

Solve 7 cos^(2) theta+3 sin^(2) theta=4 .

Solve sqrt(3) cos theta-3 sin theta =4 sin 2 theta cos 3 theta .

Prove the following identity : sin^4 theta+ cos^4 theta= 1-2 sin^2 theta cos^2 theta .

Find dy/dx when x = cos theta + cos 2 theta, y = sin theta + sin 2 theta)

If x cos theta- y sin theta=a,x sin theta+ y cos theta=b , prove that x^2+y^2= a^2+b^2 .

Find (dy)/(dx) in the following x = cos 2 theta + 2 cos theta, y = sin 2 theta - 2 sin theta

If tan 2 theta = cot 4 theta where 2 theta and 4 theta are acute angles. Find theta

Evaluate the following integrals: int(2sin 2 theta- cos theta)/(6-cos^2 theta- 4 sin theta)d theta