Question
If S = {z : |z + i| = |z – i| = |z – 1|, z ∈ c}, then number of elements in set S is equal to
Options :
1
2
3
4
Answer :
1
Solution :
z will be circumcentre of the triangle with vertices i, – i and 1. (which is unique)
⇒ z = 0 + 0i
Only one element exists in S
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