Home
Class 12
MATHS
If |z-i| <= 5 and z1 = 5+3i (where, i = ...

If `|z-i| <= 5` and `z_1 = 5+3i` (where, `i = sqrt -1`), then greatest and least values of `|iz + z_1|`

A

7 and 3

B

9 and 1

C

10 and 0

D

none of these

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    ARIHANT MATHS|Exercise Exercise For Session 3|15 Videos

  • COMPLEX NUMBERS

    ARIHANT MATHS|Exercise Exercise For Session 4|14 Videos

  • COMPLEX NUMBERS

    ARIHANT MATHS|Exercise Exercise For Session 1|6 Videos

  • CIRCLE

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|16 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|20 Videos

Similar Questions

Explore conceptually related problems

If |z-4i|+|z+4i|=0 then the equation of the locus of z is

If |z-5i|=|z+5i, then the locus of z

If |z-3i|=|z+3i| , then find the locus of z.

Let Z_(1),Z_(2) be two complex numbers which satisfy |z-i| = 2 and |(z-lambda i)/(z+lambda i)|=1 where lambda in R, then |z_(1)-z_(2)| is

If |z-2-i|=|z|sin((pi)/(4)-arg z)|, where i=sqrt(-1) ,then locus of z, is

The number of complex numbers z such that |z - i| = |z + i| = |z + 1| is

If | (z - i)/(z + 2i)| = 1, |z| = 5/2 then the value of |z + 3i|

If |z+4i|=min{|z+3i|,|z+5i|, then z satisfies Im z=-(7)/(2)

The inequality |z-i| lt |z + i| represents the region

If |z+3i|+|z-i|=8 , then the locus of z, in the Argand plane, is