Question

If the points A (4, 3) and B(x, 5) are on the circle with centre 0 (2, 3), find the value
of x.​

Answer 1

Answer:

$x = 2$

Step-by-step explanation:

AO = OB

$\sqrt{ {(4 - 2)}^{2} + {(3 - 3)}^{2} } = \sqrt{ {(x - 2)}^{2} + {(5 - 3)}^{2} } \\ 4 = {(x - 2)}^{2} + 4 \\ {(x - 2)}^{2} = 0 \\ x = 2$