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16. Coordinate Geometry
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Q8 of 157 Page 737

Find the coordinates of the midpoint of the line segment joining

A(3, 0) and B (– 5, 4)


X = (m1x2 + m2x1)/ m1 + m2


= (1 × (– 5) + 1x 3)/1 + 1


= (– 5 + 3) /2


= – 2/2 = – 1


Y = (m1y2 + m2y1)/ m1 + m2


= (1x 4 + 1x 0)/2


= (4 + 0)/2


= 4 / 2 = 2


(– 1, 2)


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6

Points P, Q and R in that order are dividing a line segment joining A(1, 6) and B(5, – 2) in four equal parts. Find the coordinates of P, Q and R.

7

The line segment joining the points A(3, – 4) and B(1, 2) is trisected at the points P(p, – 2) and Q(5/3, q). Find the values of p and q.

8

Find the coordinates of the midpoint of the line segment joining

P(– 11, – 8) and Q(8, – 2).

9

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.

Questions · 157
16. Coordinate Geometry
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