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 vartiable point P be (t+(1)/(t), t-(1)/(t)) , where t is the variable quantity, 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.

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 co-ordinates of a point P are x = at^(2) , y = a sqrt(1 - t^(4)) , where t is a parameter , then the locus of P is a/an

Find the locus of a variable point (at^2, 2at) where t is the parameter.

The coordinates of a moving point P are (2t^(2)+4,4t+6); show that the locus of P is a parabola.

ABC is a variable triangle with the fixed vertex C(1,2) and A,B having the coordinates (cos t,sin t), (sin t, -cos t) respectively where t is a parameter. Find the locus of the centroid of the DeltaABC .

Find the locus of a point whose coordinate are given by x = t+t^(2), y = 2t+1 , where t is variable.

The locus of the point (a+bt,b-(a)/(t)) where t is the parameter is