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The value of lambda for which the inequa...

The value of `lambda` for which the inequality `|z_(1)/|z_(1)|+z_(2)/|z_(2)|| le lambda` is true for all `z_(1),z_(2) in C`, is

A

1

B

2

C

3

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
We find that
`z_(1)/(|z_(1)|+z_(2)/|z_(2)|| le |z_(1)/|z_(1)||+|z_(2)/|z_(2)|| le |z_(1)|/|z_(1)| + (|z_(2)|)/(|z_(2)|))=2`
Hence, `lambda=2`.
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