If for , then and are the roots of the equation

Maths Complex Number JEE Main 2023 Single Correct MCQ

Published by: CGP EDU Academic Team

Published on: August 13, 2026

x 2 + 3x-4 = 0

x 2 + 7x + 12 = 0

x 2 + x - 12 = 0

x 2 + 2x - 3 = 0

Text Solution

Verified by Experts

The correct answer is:

Given,

Now putting the value of in |z + 2|= z + 4(1 + i) we get

Now on comparing real and imaginary part, we get

...(i)

and …. (ii)

Now solving,

So,

We know that quadratic equation is given by,

x 2 -(sum of roots) x + (product of roots) = 0

So, equation with roots -3 and -4 will be,

x 2 + 7x + 12 = 0

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