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Question

The point that divides the line segment joining A (3, 6) and B (7, 10) in the ratio 3 : 1 is .

A
(4 , 5)
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B
(8 , 9)
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C
(6 , 9)
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Solution

The correct option is C (6 , 9)
If a point (x,y) divides the line segment joining the points A(x1,y1) and B(x2,y2) in the ratio m : n,

then, x = (mx2+nx1m+n) and y = (my2+ny1m+n)

Here, x1=3, x2=7, y1=6, y2=10, m = 3 and n = 1.

x = 3(7)+1(3)3+1 and y = 3(10)+1(6)3+1

x = 6 and y = 9

The point is (6,9).

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