If `|z|=5,` then the locus of `-1 + 2z` is (A) a circle having center (2,0) (B) a circle having center `(-1,0)` (C) a circle having radius 5 (D) a circle having radius 9

If the length of the normal for each point on a curve is equal to the radius vector, then the curve (a) is a circle passing through origin (b) is a circle having centre at origin and radius 0 (c) is a circle having centre on x-axis and touching y-axis (iv) is a circle having centre on y-axis and touching x-axis

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.

If z=3/(2+costheta+"isin"theta) then locus of z is straight line a circle having center on the y-axis a parabola a circle having center on the x-axis

The equation of the circle passing through (2,0) and (0,4) and having minimum radius is

Find the equation of the circle having center at (2,3) and which touches x+y=1 .

The line y=x is a tangent at (0,0) to a circle of radius unity. The center of the circle is

In the xy-plane , a circle with center (6,0) is tangent to the line y=x. what is the radius of the circle ?

The ends of a quadrant of a circle have the coordinates (1, 3) and (3, 1). Then the center of such a circle is

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

The equation of the circle concentric with x^(2)+y^(2)-6x+4y-3=0 and having radius 5 is