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Question

The ratio in which the point (2,y) divides the line segment joining (4,3) and (6,3) is

A
1:2 externally
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B
1:2 internally
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C
3:2 externally
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D
3:2 internally
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Solution

The correct option is A 1:2 externally
Let A(4,3), B(6,3) and P(2,y)

Assuming P divides AB internally in the ratio m:n, then
2=6m+4nm+n2m+2n=6m+4nmn=12
Since m:n is negative, therefore division is external i.e., P divides AB externally in the ratio 1:2.

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