Question

Which point lies on a circle that is centered at A(3, 3) and passes through B(6, 5)?
C(1, 6)
D(6, 0)
E(0, 3)
F(3, -1)
G(3, 6)

Answer 1

would you use mid point formula

Answer 2

Yeah

Answer 3

ok thanks

Answer 4

Why do you need the mid-point formula?

Answer 5

@eliassaab because we have the mid point given(A).. So we will find that option which will give same midpoint with B

Answer 6

The equation of the circle is
\[
(x-3)^2+(y-3)^2=13 \\
(1-3)^2 +(6-3)^2=4+9 =13
\]
Hence (1,6) is on the circle.

Answer 7

13 is calculated as the square distance from the given
point to the center of the circle.

Answer 8

Cant remember the formula for radius .. CAN U tell me @eliassaab

Answer 9

Do you know how to find the distance between two points?