In what ratio is the segment joining A(2, -3) and B(5, 6) divided | Filo
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Class 10

Math

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Coordinate Geometry

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In what ratio is the segment joining and divided by the x-axis? Also, find the coordinates of the point of division.

Solution:
Using the section formula, if a point divides the line joining the points and in the ratio , then 
Let point P on the x-axis divides the line segment joining the points A and B the ratio
Consider P lies on x-axis having coordinates .
.........
And,
or
P divides AB in the ratio .
and
From
Hence coordinates are .
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