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Q.

If $z = x + iy$ then the equation $|\frac{2 z - i}{z + 1}| = m$ does not represent a circle when

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a

m = 3

b

m = 2

c

$m = \frac{1}{2}$

d

m = 1

answer is C.

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Detailed Solution

The given equation is $|\frac{z - \frac{i}{2}}{z + 1}| = \frac{m}{2}$ , which does not represent a circle when $\frac{m}{2} = 1 . \Rightarrow m = 2$

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