If the coordinates of a variable point `P` be `(cos theta + sin theta, sin theta - cos theta)`, where `theta` is a variable quantity, find the locus of `P`.

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

If the coordinates of a variable point P be (a cos theta, b sin theta) , where theta is a variable quantity, find the locus of P .

If the coordinates of a variable point P are (a cos theta,b sin theta), where theta is a variable quantity,then find the locus of P.

A = [(cos theta,-sin theta),(-sin theta,-cos theta)] then find A^(-1) .

Find the distance between the points : (cos theta, sin theta), (sin theta, cos theta)

The locus of the point (a(cos theta+sin theta),b(cos theta-sin theta)) where theta is the parameter is

Vertices of a variable triangle are (3,4);(5cos theta,5sin theta) and (5sin theta,-5cos theta) where theta is a parameter then the locus of its circumcentre is

Find the value of |[cos theta,-sin theta],[sin theta,cos theta]|