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If |(z-25)/(z-1)| = 5 , the value of |z...

If `|(z-25)/(z-1)| = 5 ` , the value of `|z|` is -

A

3

B

4

C

5

D

6

Text Solution

Verified by Experts

The correct Answer is:
C
`(x-25)^(2) + y^(2) = 25[(x-1)^(2) + y^(2)]`
`24(x^(2) + y^(2)) = 25^(2) - 25`
`x^(2) + y^(2) = 25`
`|z| = 5`
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