If t is a parameter , then locus of a point
` P (a sin^(2) t, 2a sin t )` is

If t is parameter then the locus of the point P(t,(1)/(2t)) is _

The locus of the point represent by x = cos ^ 2 t, y = 2 sin t is

If x=t+(1/t), y=t-(1/t) and t=parameter then the locus of the point (x, y) is __

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

Let z=t^2-1+sqrt(t^4-t^2),where t in R is a parameter. Find the locus of z depending upon t , and draw the locus of z in the Argand plane.

Let z=t^2-1+sqrt(t^4-t^2),where t in R is a parameter. Find the locus of z depending upon t , and draw the locus of z in the Argand plane.

Match the following {:(I., "The locus of the point "(at^2, 2at) " is",,(a), xy = c^2),(II., "The locus of the point "(ct, c//t) " is",,(b), y^2 +4x =4),(III., "The locus of the point "(cos^2 t, 2 sin t)" is",,(c), x^2 + y^2 = 2),(IV., "The locus of the point " (cost + sint, cos t - sin t)" is",,(d),y^2 = 4ax):}

Find the locus of the point (t^2-t+1,t^2+t+1),t in R .

Find the locus of the point (t^(2)-t+1,t^(2)+t+1),t in R

Find the locus of the point (t^2-t+1,t^2+t+1),t in R .