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If zinC lies on the circle whose equat...

If `zinC` lies on the circle whose equation is `|z-3i|=3sqrt2.` then the argument of `((z-3)/(z+3))` can be

A

`tan^(-1)3`

B

`(pi)/(2)`

C

`(pi)/(4)`

D

`tan^(-1)3sqrt2`

Text Solution

Verified by Experts

The correct Answer is:
C
Here points (-3) and (c) lie on the circle
`|Z-3i|=3 sqrt(2)`
`rArr AB=3 sqrt(2)`
`AC=3sqrt(2)`
`BC=6`
Also, `AB^(2)+AC^(2)=BC^(2)`
`:. angle BAC=(pi)/(2) " " :. Arg((Z-3)/(Z+3))=(pi)/(4)`
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