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.

Find the equation of the circle with center (−3,2) and radius 4

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

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

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

A circle touches the x -axis and also touches the circle with center (0, 3) and radius 2 . The locus of the center

Form the differential equation of family of circles having center at origin.

If z lies on unit circle with center at the origin, then (1+z)/(1+barz) is equal to

The locus of the midpoint of a line segment that is drawn from a given external point P to a given circle with center O (where O is the orgin) and radius r is a straight line perpendiculat to P O a circle with center P and radius r a circle with center P and radius 2r a circle with center at the midpoint P O and radius r/2dot

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