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If (x,y) be any point on the line segmen...

If (x,y) be any point on the line segment joinijng the points (a,0)and (0,b) then prove that `x/b+y/b=1.`

Text Solution

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Given three points are collinear
`implies" ""Area of" Delta=0`
`implies" "1/2[x(0-b)+a(b-y)+0(y-0)]=0`
`implies" "-bx+ab-ay=0`
Divide both sides by ab
`" "-x/a+1-y/b=0implies" "x/a+y/b=1`
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