JEE MATHEMATICS MCQ: COMPLEX NUMBERS

1 Easy

1 of 1

Analyzing +4 | -1

Let for some real numbers

\alpha

and

\beta ,\,\,a = \alpha - i\beta .

If the system of equations

4ix + \left( {1 + i} \right)y = 0

and

8\left( {\cos \frac{{2\pi }}{3} + i\sin \frac{{2\pi }}{3}} \right)x + \bar ay = 0

has more than one solution, then

\frac{\alpha }{\beta }

is equal to

View answer and explanation

Correct option: B

2 - \sqrt 3

The correct answer is B (

2 - \sqrt 3

) because it is the value of

\frac{\alpha}{\beta}

calculated using the condition for the system of equations to have more than one solution.

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