" 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 point (at^(2),2at) where t is a parameter.

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

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

Find the locus of point (t+(1)/(t),t-(1)/(t)) 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.

If t is veriable paramete, parameter, show that the locus of the point of intersection of the straight lines (tx)/(a)+(y)/(b)-t = 0 and (x)/(a) - (ty)/(b) + 1 = 0 represents an ellipse