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

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

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

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

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

Find the locus of point (t+(1)/(t),t-(1)/(t)) where t is a parameter.

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

Find the path traced by the point ( at^(2) ,2at) where t is the parameter and a is a constant.

Find the locus of the point (a-bsectheta,a-btantheta) where theta is the parameter.

Find the locus of point (ct,(c)/(t)) where t is a parameter.

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 :