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Question
In what ratio does the y-axis divides the line joining the points (−5, 1) and (2, 3) internally
Options
1 : 3
2 : 5
3 : 1
5 : 2
Solution
5 : 2
Explanation;
Hint:
When it cut the y-axis the point P is (0, a)
A line divides internally in the ratio m : n
The point P = `(("m"x_2 + "n"x_1)/("m" + "n"), ("m"y_2 + "n"y_1)/("m" + "n"))`
(0, a) = `((2"m" - 5"n")/("m" + "n"), (3"m" + "n")/("m" + "n"))`
`(2"m" - 5"n")/("m" + "n")` = 0
2m – 5n = 0
⇒ 2m = 5n
`"m"/"n" = 5/2`
⇒ m : n = 5 : 2
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