If the point M (3/4,5/12) divides the line segment joining points A( 1/2,3/2)and B (2,-5) in the
ratio a : b (where a and b arc co-prime), then find the value of a + b.
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10th
Maths
Coordinate Geometry
Section Formula
In what ratio does the poin...
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Asked on December 26, 2019 by
Tanya Har
In what ratio does the point P(-2, 3) divide the line segment joining the points A(-3, 5) and B(4, -9) internally?
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ANSWER
Let the ratio be k:1
Substituting (x
1
,y
1
)=(−3,5) and (x
2
,y
2
)=(4,−9) in the
section formula, we get (
k+1
k(4)+1(−3)
,
k+1
k(−9)+1(5)
)=(−2,3)
(
k+1
4k−3
,
k+1
−9k+5
)=(−2,3)
Comparing the x - coordinate,
=>
k+1
4k−3
=−2
=>4k−3=−2k−2
6k=1
k=
6
1
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