Let z be a complex number such that |z+2|=|z-2| and arg ((z+3)/(z-i))=(π)/4. Then |z|² is equal to:

Complex Numbers and Quadratic Equations: JEE Main 2026 Mathematics question

JEE Main 2026 · 4 Apr, Morning shift · Q3

JEE Main 20264 Apr, Morning shiftMathematicsEasyComplex Numbers and Quadratic Equations264× since 2002

Let

z

be a complex number such that

|z+2|=|z-2|

and

\arg\left(\frac{z+3}{z-i}\right)=\frac{\pi}{4}

. Then

|z|^2

is equal to:

JEE Main 2026 · 4 Apr, Morning shift · Q3

JEE Main 20264 Apr, Morning shiftMathematicsEasyComplex Numbers and Quadratic Equations264× since 2002

Let

z

be a complex number such that

|z+2|=|z-2|

and

\arg\left(\frac{z+3}{z-i}\right)=\frac{\pi}{4}

. Then

|z|^2

is equal to: