What is the ratio in which the x-axis divides the line segment joining the points 6 4 and 1 7?

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The ratio in which x axis divides the line segment joining the points 6,4 and 1, 7 is m : n. Find the value of mn.A. 50B. 45C. 36D. 28

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The ratio in which the x-axis divides the line segment joining the points (6, 4) and (1, −7) is

4 : 7

Explanation;

Hint:

A line divides internally in the ratio m : n the point P

What is the ratio in which the x-axis divides the line segment joining the points 6 4 and 1 7?

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

Concept: The Mid-point of a Line Segment (Mid-point Formula)

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