Let z be the complex number satisfying |z-5|≤ 3 and having maximum positive principal argument. Then 34|(5z-12)/(5iz+16)|² is equal to:

Complex Numbers and Quadratic Equations: JEE Main 2026 Mathematics question

JEE Main 2026 · 21 Jan, Evening shift · Q13

JEE Main 202621 Jan, Evening shiftMathematicsEasyComplex Numbers and Quadratic Equations264× since 2002

Let z be the complex number satisfying

|z-5|\le 3

and having maximum positive principal argument. Then

34\left|\frac{5z-12}{5iz+16}\right|^2

is equal to :

JEE Main 2026 · 21 Jan, Evening shift · Q13

JEE Main 202621 Jan, Evening shiftMathematicsEasyComplex Numbers and Quadratic Equations264× since 2002

Let z be the complex number satisfying

|z-5|\le 3

and having maximum positive principal argument. Then

34\left|\frac{5z-12}{5iz+16}\right|^2

is equal to :