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Question

If the line 3x+4y=5 divides the line segment joining the points (1,2) and (2,3) in the rario λ:1, then the value of |λ| is

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Solution

Given ratio is λ:1
Points are (1,2) and (2,3)
Now, the required point
=(12λλ+1,3λ+2λ+1)
Since this point lies on the line 3x+4y=5
3(12λλ+1)+4(3λ+2λ+1)=536λ+12λ+8=5λ+5λ=6|λ|=6

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