If `|a_n|lt 1 for n=1,2,3,…and 1+a_1z+a_2z^2+…+a_nz^n=0` then z lies (A) on the circle `|z|=1/2` (B) inside the circle `|z|=1/2` (C) outside the circle `|z|= 1/2` (D) on the chord of the circle `|z|=1/2` cut off by the line `Re[(1+i)z]=0`

If z lies on the circle |z-1|=1 , then (z-2)/z is

If z lies on the circle |z-1|=1 , then (z-2)/z is

If z lies on the circle I z l = 1, then 2/z lies on

lf z_1,z_2,z_3 are vertices of an equilateral triangle inscribed in the circle |z| = 2 and if z_1 = 1 + iotasqrt3 , then

If |z^2-1|=|z|^2+1 , then z lies on (a) The Real axis (b)The imaginary axis (c)A circle (d)An ellipse

In A B C ,A(z_1),B(z_2),a n dC(z_3) are inscribed in the circle |z|=5. If H(z_n) be the orthocenrter of triangle A B C , then find z_ndot

If |z|lt1, then 1+2z lies (A) on or inside circle having center at origin and radius 2 (B) outside the circle having center at origin and radius 2 (C) inside the circle having center at (1,0) and radius 2 (D) outside the circle having center at (1,0) and radius 2.

Let z_1, z_2 be two complex numbers represented by points on the circle |z_1|= and and |z_2|=2 are then

The locus of the center of a circle which touches the circles |z-z_1|=a, |z-z_2=b| externally will be

The centre of circle represented by |z + 1| = 2 |z - 1| in the complex plane is