Question

The centre of circle with the end of diameter are A (1, 1) and B (1, -1) :​

Answer 1

Answer:

co-ordinatea of center: (1,0)

Step-by-step explanation:

since 1,1 and 1,-1 are ends of diameter the centre of circle is at midpoint.

therefore: by midpoint formula

center= (1+1)/2 , (1+(-1))/2

which is 1,0.

if u can think about it graphically it's more easy.

Answer 2

Answer:

O (x,y)

A (1, 1)

B (1, -1)

OA = OB

(1-x)²+(1-y)² = (1-x)² + (-1-y)²

(1-y)² = (-1-y)²

1² + y² - 2y = 1 + y² - 2y

0 = 0

centre = 0,0