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If |z+4| leq 3 then the maximum value of...

If `|z+4| leq 3` then the maximum value of `|z+1|` is

A

6

B

0

C

4

D

10

Text Solution

Verified by Experts

The correct Answer is:
A
We have,
`|z+1|=|(z+4)-3||`
`rArr |z+1| le |z+4|+|3|` `[therefore |z_(1)-z_(2)| le |z_(1)| + |z_(2)|]`
`rArr |z+1| le 3+3=6`
Hence, the maximum value of `|z+1|` is 6.
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  12. The expression (1+i)^(n1)+(1+i^(3))^(n(2)) is real iff

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  19. If 2z1-3z2 + z3=0, then z1, z2 and z3 are represented by

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  20. Re((z+4)/(2z-1)) = 1/2, then z is represented by a point lying on

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  21. The vertices of a square are z1,z2,z3 and z4 taken in the anticlockwis...

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