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Question

Find the point (x,y) that divides the join of A(3,6) and B(7,10) in the ratio 3:1

A
(8,9).
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B
(4,5)
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C
(6,9)
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D
None of these
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Solution

The correct option is C (6,9)
If (x,y) divides the join of A(x1,y1) and (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+1×33+1 and y = 3×10+1×63+1

x = 6 and y = 9

Therefore the point is (6,9)

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