JEE MATHEMATICS MCQ: COMPLEX NUMBERS

1 Easy

1 of 1

Application +4 | -1

The equation of the locus of

z

such that

\left| {\frac{{z - i}}{{z + i}}} \right| = 2

, where

z = x + iy

is a complex number, is

View answer and explanation

Correct option: B

3{x^2} + 3{y^2} + 10y + 3 = 0

The correct answer is B (

3{x^2} + 3{y^2} + 10y + 3 = 0

) because substituting

z = x + iy

and simplifying the given equation leads to this equation of a circle.

More Questions from COMPLEX NUMBERS

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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

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