Question
The co-ordinate of the point which divides the line joining the points (–1, 7) and (4, –3) in the ratio 2:3 is ________.
Answer: Option A
:
A
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A
If a point P(x,y) divides a line segment joining (x1,y1) and (x2,y2) in the ratio m:n, then the coordinates of P are given by:
x=mx2+nx1m+n, y=my2+ny1m+n
Let P(x,y) divide the line segment AB joining A(−1,7) and B(4,−3) in the ratio 2:3. Then by using section formula, the co-ordinates of P are given by:
(2×4+3×(−1)2+3,2×(−3)+3×72+3)
=(8−35,−6+215)
=(55,155)
Thus, the coordinates of P is (1,3)
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