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If z=x+i y , then he equation |(2z-i)//(...

If `z=x+i y` , then he equation `|(2z-i)//(z+1)|=m` represents a circle, then `m` can be `1//2` b. `1` c. `2` d. `3

A

`1//2`

B

1

C

2

D

3

Text Solution

Verified by Experts

The correct Answer is:
A, B, C
`|(2z-i)/(z+i)|= m`
`rArr |z-(i)/(m)|= (m)/(2) |z+1|`
This shows that the given equation will represent a circle,if `m//2 ne0, 1, i.e., m ne 0,2`
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