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For any two complex numbers z(1) "and" z...

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

A

2

B

4

C

6

D

8

Text Solution

Verified by Experts

The correct Answer is:
D
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