Q11 of 157 Page 737

The line segment joining A(– 2, 9) and B(6, 3) is a diameter of a circle with centre C. Find the coordinates of C.

X = (m₁x₂ + m₂x₁)/ m₁ + m₂

= (1 × 6 + 1x (– 2)/1 + 1

= (6 – 2) /2

= 4/2 = 2

Y = (m₁y₂ + m₂y₁)/ m₁ + m₂

= (1x 3 + 1x 9)/2

= (3 + 9)/2

= 12 / 2 = 6

C(2,6)

If (2, p) is the midpoint of the line segment joining the points A(6, – 5) and B(– 2, 11), find the value of p.

The midpoint of the line segment joining A(2a, 4) and B(– 2, 3b) is C(1, 2a + 1). Find the values of a and b.

Find the coordinates of a point A, where AB is a diameter of a circle with centre C(2, – 3) and the other end of the diameter is B(1, 4).

In what ratio does the point P(2, 5) divide the join of A(8, 2) and B(– 6, 9)?