JEE MATHEMATICS MCQ: COMPLEX NUMBERS

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Application +4 | -1

\mathrm{Re\;}\left( {\frac{{z + 4}}{{2z - i}}} \right) = \frac{1}{2},

then

z

is represented by a point lying on

View answer and explanation

Correct option: C

A straight line

The correct answer is A (A straight line) because the real part condition leads to a linear equation in x and y, representing a straight line.

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

|z|=1

z \neq \pm 1

z, \frac{z}{1-z^2}

\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

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