Home
Class 12
MATHS
If |z|lt1, then 1+2z lies (A) on or insi...

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.

Promotional Banner

Similar Questions

Explore conceptually related problems

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

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

A (6, 0) is a point on a circle with center (0, 0).Find the radius of the circle.

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 |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

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.

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

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 (b) circle with center P and radius r (c) circle with center P and radius 2r (d) circle with center at the midpoint P O and radius r/2dot