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`"Find the Ratio in Which the Poin "P (3/4 , 5/12) " Divides the Line Segment Joining the Points "A (1/2,3/2) and B (2,-5).` - Mathematics

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`"Find the ratio in which the poin "p (3/4 , 5/12) " divides the line segment joining the points "A (1/2,3/2) and B (2,-5).`

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Solution

`"Let  k : 1 be the ratio in which the point "p (3/4 , 5/12) " divides the line segment joining the points "A (1/2,3/2) and B (2,-5).` Then 

`(3/4 , 5/12) = ((k(2)+1/2)/(k+1) , (k(-5)+2/2)/(k+1))`

` ⇒(k (2) +1/2)/(k+1) = 3/4  and  (k(-5) +3/2) /(k+1) = 5/12`

`⇒ 8k+2=3k+3 and -60k +18 = 5k +5`

`⇒k=1/5 and k = 1/5 `
Hence, the required ratio is1:5

Concept: Coordinate Geometry
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APPEARS IN

RS Aggarwal Secondary School Class 10 Maths
Chapter 16 Coordinate Geomentry
Q 14

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