Home
Class 12
MATHS
If |z-4/z|=2 then the greatest value of ...

If `|z-4/z|=2` then the greatest value of `|z|` is:

A

(A) `sqrt(5)-1`

B

(B) `sqrt(5)+1`

C

(C) `sqrt(5)`

D

(D) 2

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    ARIHANT MATHS|Exercise Exercise (Single Option Correct Type Questions)|30 Videos

  • COMPLEX NUMBERS

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|15 Videos

  • COMPLEX NUMBERS

    ARIHANT MATHS|Exercise Exercise For Session 3|15 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_(1) -1|le,|z_(2) -2| le2,|z_(3) - 3|le 3, then find the greatest value of |z_(1) + z_(2) + z_(3)|

1. If |z-2+i| ≤ 2 then find the greatest and least value of | z|

If |z|ge3, then determine the least value of |z+(1)/(z)| .

If z is a complex number such that |z|geq2 , then the minimum value of |z+1/2|

If z, izand z+iz are the vertices of a triangle whose area is 2units, the value of |z| is

In the equation 6 = z + 2, the value of z is :

If |z|=1 and z!=1, then all the values of z/(1-z^2) lie on

For any two complex numbers z_(1) "and" z_(2) , abs(z_(1)-z_(2)) ge {{:(abs(z_(1))-abs(z_(2))),(abs(z_(2))-abs(z_(1))):} and equality holds iff origin z_(1) " and " z_(2) are collinear and z_(1),z_(2) lie on the same side of the origin . If abs(z-(2)/(z))=4 and sum of greatest and least values of abs(z) is lambda , then lambda^(2) , is

For any two complex numbers z_(1) "and" z_(2) , abs(z_(1)-z_(2)) ge {{:(abs(z_(1))-abs(z_(2))),(abs(z_(2))-abs(z_(1))):} and equality holds iff origin z_(1) " and " z_(2) are collinear and z_(1),z_(2) lie on the same side of the origin . If abs(z-(1)/(z))=2 and sum of greatest and least values of abs(z) is lambda , then lambda^(2) , is

If |z_(1)| = 1, |z_(2)| =2, |z_(3)|=3, and |9z_(1)z_(2) + 4z_(1)z_(3)+z_(2)z_(3)|= 12 , then find the value of |z_(1) + z_(2) + z_(3)| .