JEE MATHEMATICS MCQ: COMPLEX NUMBERS

1 Easy

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Understanding +4 | -1

A point

P

which represents a complex number

z

moves such that

\left| {z - {z_1}} \right| = \left| {z - {z_2}} \right|

, then its locus is

View answer and explanation

Correct option: D

Perpendicular bisector of line joining

{z_1}

and

{z_2}

Option A (

z\bar z - z{\bar z_0} - \bar z{z_0} + {z_0}{\bar z_0} = {r^2}

) is correct because it represents the equation of a circle in the complex plane with center z0 and radius r.

More Questions from COMPLEX NUMBERS

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

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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

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