Question

What is the center of the circle that has a diameter whose endpoints are (4, 1) and (-6, 5)?

Answer 1

the center is exactly in the middle of the diameter right?

Answer 2

What number is right in the middle of -6 and 4?

Answer 3

choises are (-1, 3)

Answer 4

(-5, 3)

Answer 5

(-2, 3)

Answer 6

So, AO = BO (Radius)
Hence, By mid point formula ,
\[(4-6)/2 = x ... and (1+5)/2 = y .. Therefore, x=-1 .. and y=3 \]
Thus, Coordinates of the center are - (-1,3) .. =)