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If a|z-3|=min{"|"z1,|z-5|},t h e nR e(z)...

If `a|z-3|=min{"|"z1,|z-5|},t h e nR e(z)` equals to `2` b. `5/2` c. `7/2` d. `4`

A

2

B

`(5)/(2)`

C

`(7)/(2)`

D

4

Text Solution

Verified by Experts

The correct Answer is:
A, D
If `|z-3|= |z-1|`, then z lies on perpendicular bisector of line segment joining '1' and 3. So `Re(z)=2`
If `|z-3|=|z-5|` then z lies on perpendicular bisector of line segment joining '3' and '4'. So. `Re(z)=4`
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