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प्रश्न
The ratio in which the x-axis divides the line segment joining the points (6, 4) and (1, −7) is
विकल्प
2 : 3
3 : 4
4 : 7
4 : 3
उत्तर
4 : 7
Explanation;
Hint:
A line divides internally in the ratio m : n the point P
P = `(("m" + 6"n")/("m" + "n"), (-7"m" + 4"n")/("m" + "n"))`
(a, 0) = `(("m" + 6"n")/("m" + "n"), (-7"m" + 4"n")/("m" + "n"))`
0 = `(-7"m" + 4"n")/("m" + "n")`
−7m + 4n = 0
4n = 7m
`"m"/"n" = 4/7`
The ratio is 4 : 7
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∴ Mid point formula,
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