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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 maximum value of `|m|` is

A

14

B

`2 sqrt7`

C

`7 + sqrt41`

D

`28 + sqrt(41)`

Text Solution

Verified by Experts

The correct Answer is:
C
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