Question

Let |z| = |z – 3| = |z – 4i|, then the value |2z| is ______.

Options

• 4.00

• 5.00

• 6.00

• 7.00

Answer 1

Let |z| = |z – 3| = |z – 4i|, then the value |2z| is 5.00.

Explanation:

z is equidistant from (0, 0), (3, 0) and (0, 4).

⇒ z is at the circumcentre of ΔOAB.

⇒ |z| = `5/2`

⇒ |2z| = 5.00