Question

Find the centre of The
Circle where The end Point
of a diameter are (-4, 1) and
(2,-3)​

Answer 1

Answer:

(-1, 1)

Step-by-step explanation:

Let A(-4,1) and B(2,-3) be the endpoints of the diameter of the circle.

Therefore, x= -4 , y= 1

                  x'= 2 , y'= -3

We know that,

diameter= twice of radius.

Thus, m:n = 1:1.

And O is the midpoint of AB.

Therefore, O= ((x+x')/2, (y+y')/2)

                     = ((-4+2)/2, (1-3)/2)

                     = (-2/2, 2/2)

                     = (-1, 1)

Thus, the radius of the circle, i.e. , O = (-1, 1)