If `|z+barz|+|z-barz|=2` then z lies on (a) a straight line (b) a set of four lines (c) a circle (d) None of these

If |z^(2)-1|=|z^(2)|+1 , then z lies on

The equation x^2y^2-9y^2-6x^2y+54 y=0 represents (a) a pair of straight lines and a circle (b) a pair of straight lines and a parabola (c) a set of four straight lines forming a square (d) none of these

If z^2+z|z|+|z^2|=0, then the locus z is a. a circle b. a straight line c. a pair of straight line d. none of these

If z=x+iy and w=(1-iz)/(z-i) , then |w|=1 implies that in the complex plane (A) z lies on imaginary axis (B) z lies on real axis (C) z lies on unit circle (D) None of these

The complex numbers z=x+iy which satisfy the equation |(z-5i)/(z+5i)|=1 lie on (a) The x-axis (b) The straight line y=5 (c) A circle passing through the origin (d) Non of these

The locus of the point (sqrt(3h),(sqrt(3)k+2)) if it lies on the line x-y-1=0 is straight line (b) a circle a parabola (d) none of these

If |z/| barz |- barz |=1+|z|, then prove that z is a purely imaginary number.

If t and c are two complex numbers such that |t|!=|c|,|t|=1a n dz=(a t+b)/(t-c), z=x+i ydot Locus of z is (where a, b are complex numbers) a. line segment b. straight line c. circle d. none of these

barz = -z if and only if z is a

If -barz lies in the third quadrant then z lies in the :