Question

If |z 24 + 7i| 3 then difference between greatest and least value of |z| is

Answer 1

Answer:

25

Step-by-step explanation:

$z=24+7i$

Absolute value of complex number can be found on the complex plane.

Pythagorean Theorem

When there are two points $A=(x_1,y_1)$, $O(0,0)$

$\frac{}{OA} =\sqrt{x_1^2+y_1^2}$.

This works on the complex plane too.

$|z|=\sqrt{24^2+7^2} =\sqrt{25^2} =25$