JEE MATHEMATICS MCQ: COMPLEX NUMBERS

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Application +4 | -1

If complex number

z

satisfies

|z-6 i|=\operatorname{Im}(z)

, then range of

(\arg z-\arg \bar{z})

will be

View answer and explanation

Correct option: A

\left[\frac{\pi}{2}, \frac{3 \pi}{2}\right]

Option A ([

\frac{\pi}{2}, \frac{3 \pi}{2}

]) is correct because the given condition represents a parabola, and analyzing the range of the argument of z leads to the specified interval.

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{\left| {1 - i} \right|^x} = {2^x}

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z \neq \pm 1

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\left|z_r-r\right| \leq r, \forall r=1,2,3, \ldots, n

\left|\sum\limits_{r=1}^n z_r\right|

(z+a b)^3=a^3

a \neq 0

\alpha, \beta

\gamma

|\alpha-\beta|

{z^2} + {\left| z \right|^2} = 0,

z \in C

2x = - 1 + \sqrt 3 i

{\left( {1 - {x^2} + x} \right)^6} - {\left( {1 - x + {x^2}} \right)^6}