Question

Find the co-ordinate of a point a where ab is a diameter of the circle with the centre 3, -1 an point b 2, 6

Answer 1

Refer to the above attachment.

Answer 2

Answer:

☆ Suppose coordinates of A = A(x,y).

and coordinates of B = B(2,6).( Given ).

☆ Coordinates of centre = 0(3,-1).

☆ By using mid point formula ;

x + 2 = 3

2

x + 2 = 6.

x = 6 - 2.

x = 4 .

y + 6 = -1.

2

y + 6 = -2 .

y = -8.

Thefore the coordinates of A = A(4,-8).