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Let z(1) and z(2) be complex numbers suc...

Let `z_(1)` and `z_(2)` be complex numbers such that `z_(1)^(2)-4z_(2)=16+20i` and the roots `alpha` and `beta` of `x^(2)+z_(1)x+z_(2)+m=0` for some complex number `m` satisfies `|alpha-beta|=2sqrt(7)`.
The locus of the complex number `m` is a curve

A

a square with side 7 and centre (4,5)

B

a circle with radius 7 and centre (4,5)

C

a circle with radius 7 and centre (-4,5)

D

a square with side 7 and centre (-4,5)

Text Solution

Verified by Experts

The correct Answer is:
B
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