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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-(3)/(z))=6` and sum of greatest and least values of `abs(z)` is `2lambda`, then `lambda^(2)`, is

A

12

B

18

C

24

D

30

Text Solution

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The correct Answer is:
A
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