chapter 7

Coordinate of centre = O(2,-3)

B is a point on the circle having coordinate B(1,4)

Let A(a,b) be the other extreme point on the circle opposite to B for O, the mid point of diametre AB.

Then, x coordinate of O = (x coordinate of A + x coordinate of B)/2

⇒  2 = (a + 1)/4

⇒ a= 7

Similarly y coordinate of O = (y coordinate of A + y coordinate of B)/2

⇒ -3 = (b+ 4)/2

⇒ b = - 10.

Hence the required coordinate are A (7, -10)