If $z=\frac{-1}{2}+i \frac{\sqrt{3}}{2}$, then $8+10 z+7 z^2$ is equal to

JEE MATHEMATICS MCQ: COMPLEX NUMBERS

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Application +4 | -1

z=\frac{-1}{2}+i \frac{\sqrt{3}}{2}

, then

8+10 z+7 z^2

is equal to

View answer and explanation

Correct option: C

\frac{-1}{2}+i \frac{3 \sqrt{3}}{2}

Option A ((0,2 tan^-1 1/4]) is correct because it is the interval for 'a' where the discriminant of the quadratic equation is greater than zero.

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