Q.
The number of complex numbers z such that |z−i|=|z+i|=|z+1| is
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a
0
b
1
c
2
d
infinite
answer is B.
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Detailed Solution
TIP Note z is circum-centre of the circle passing through three non-collinear points A(0+i),B(0−i)andC(−1+0i)Thus, there is only one value of z.
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