In what ratio does the x axis divide line segment joining the points (-6,4),q(-5,5) and (-1,7)?
Answers
Correct Question :- In what ratio does the x axis divide the line segment joining the points (-4, -6) and (-1, 7) ?
Solution :-
Let us assume that, the line segment joining the points (-6,4) and (-1, 7) will be divided by the point on x axis in the ratio k : 1.
- on x - axis, y - coordinate of every point is zero.
So, Let (x , 0) is the Points which divides.
Now , we have :-
- x1 = (-4) , y1 = (-6)
- x2 = (-1) , y2 = 7 .
- m1 = k , m2 = 1
- Joining points = (x, 0) .
So, using section formula now, we get,
→ 0 = (m1y2 + m2y1) / (m1 + m2)
→ 0 = (k * 7 + 1*(-6)) / (k + 1)
→ 7k - 6 = 0
→ 7k = 6
→ k = (6/7).
Therefore,
→ Required ratio = k : 1
→ Required ratio = 6/7 : 1
→ Required ratio = 6 : 7. (Ans.)
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