JEE MATHEMATICS MCQ: COMPLEX NUMBERS

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Application +4 | -1

The range of real number

\alpha

for which the equation

z+\alpha|z-1|+2 i=0

has a solution, is

View answer and explanation

Correct option: A

\left[-\frac{\sqrt{5}}{2}, \frac{\sqrt{5}}{2}\right]

Option A

\left[-\frac{\sqrt{5}}{2}, \frac{\sqrt{5}}{2}\right]

is correct because it represents the range of

\alpha

for which the quadratic equation has real solutions.

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