Let `z=t^2-1+sqrt(t^4-t^2),w h e r et in R` is a parameter. Find the locus of `z` depending upon `t` , and draw the lous of `z` in the Argand plane.

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

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

If z is a complex number such taht z^2=( barz)^2, then find the location of z on the Argand plane.

If z= x+iy find the locus of z if |2z+1| = 2 .

A curve in the xy-plane is parametrically given by x=t+t^3a n dy=t^2,w h e r et in R is the parameter. For what value(s) of t is (dy)/(dx)=1/2? 1/3 b. 2 c. 3 d. 1

Let |z|=2a n dw-(z+1)/(z-1),w h e r ez ,w , in C (where C is the set of complex numbers). Then product of least and greatest value of modulus of w is__________.

Plot the region represented by pi/3lt=a r g((z+1)/(z-1))lt=(2pi)/3 in the Argand plane.

If y=1/(t^2+t-2),w h e r et=1/(x-1), then find the number of points where f(x) is discontinuous.

Identify the locus of z if bar z = bar a +(r^2)/(z-a).

If the equation 2x^2+4x y+7y^2-12 x-2y+t=0,w h e r et is a parameter has exactly one real solution of hte form (x ,y) , then hte sum of (x+y) is equal to ______.