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Question
`"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).`
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
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