Q9 of 157 Page 737

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.

X = (m₁x₂ + m₂x₁)/ m₁ + m₂

= (1 × (– 2) + 1x 6)/1 + 1

= (– 2 + 6) /2

= 4/2 = 2

Y = (m₁y₂ + m₂y₁)/ m₁ + m₂

= (1x 11 + 1x (– 5))/2

= (11 – 5)/2

= 6 / 2 = 3

p = 3

Find the coordinates of the midpoint of the line segment joining

A(3, 0) and B (– 5, 4)

Find the coordinates of the midpoint of the line segment joining

P(– 11, – 8) and Q(8, – 2).

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.

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.