Question
The co-ordinates of the points which divides the line joining (– 2, – 2) and (– 5, 7) in the ratio 2 : 1 is _____.
Answer: Option C
:
C
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:
C
If a point P(x,y) divides the line joining (x1,y1) and (x2,y2) in the ratio m:n
then x = mx2+nx1m+n and y = my2+ny1m+n
∴x = mx2+nx1m+n = 2(−5)+1(−2)2+1 = -4
and y = my2+ny1m+n = 2(7)+1(−2)2+1 = 4
∴ the required point is (-4,4).
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