Let `z=1-t+isqrt(t^2+t+2)`, where `t` is a real parameter.the locus of the z in argand plane is

Let z=1-t+i sqrt(t^(2)+t+2), where t is a real parameter.the locus of the z in argand plane is

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

A variable circle C has the equation x^(2)+y^(2)-2(t^(2)-3t+1)x-2(t^(2)+2t)y+t=0 ,where t is a parameter.The locus of the centre of the circle is

If |z+3i|+|z-i|=8 , then the locus of z, in the Argand plane, is

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 .

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

If z=2 + t + i sqrt(3-t^2) , where t is real and t^2 lt 3 , show that the modulus of (z+1)/(z-1) is independent of t. Also show that the locus of the points z for different values of t is a circle and finds its centre and radius.

If x=t+(1)/(t) and y=t-(1)/(t) , where t is a parameter,then a value of (dy)/(dx)

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