Complex Numbers · Maximum argument in a disc

Let

z

be the complex number satisfying

\lvert z - 5\rvert \le 3

and having maximum positive principal argument. Then

34\left\lvert\dfrac{5z - 12}{5iz + 16}\right\rvert^2

is equal to:

Video solution coming soon

We're animating every PYQ step by step. Subscribe to get them first.