The maximum area of the triangle formed by the complex coordinates z, z1, z2 which satisfy the relations |z−z1|=|z−z2| and |z−[(z1+z2/2 | ≤ r, where r > |z1−z2| is
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a
12|z1−z2|2
b
12|z1−z2|r
c
12|z1−z2|2r2
d
12|z1−z2|r2
answer is B.
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Detailed Solution
By the given conditions, the area of the triangle ABC is given by (1/2)|z1−z2|r.