If the coordinates of a variable point `P` are `(acostheta,bsintheta),` where `theta` is a variable quantity, then find the locus of `Pdot`

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.

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 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 P be (t+ 1/t , t- 1/t) , where t is a variable quantity, then 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 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 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 be (cos theta + sin theta, sin theta - cos theta) , where theta is the parameter, then the locus of P is

If the co-ordinates of a variable point P be (t +1/t, t - 1/t) where t is the variable quantity, then the locus of P is :