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If |z1-1|<1, |z2-2|<2,|z3-3|<3 then |z1+...

If `|z_1-1|<1`, `|z_2-2|<2`,`|z_3-3|<3` then `|z_1+z_2+z_3|`

A

is less than 6

B

is more than 3

C

is less than 12

D

lies between 6 and 12

Text Solution

Verified by Experts

The correct Answer is:
C
We have,
`|z_(1)+z_(2)+z_(3)|=|(z_(1)-1)+(z_(1)-2)+(z_(3)-3)+6| le|z_(1)-1|+|z_(1)-2|+|z_(3)-3|+6 lt 1+2 +3 + 6=12`.
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OBJECTIVE RD SHARMA-COMPLEX NUMBERS -Section I - Solved Mcqs
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