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The incenter of the triangle formed by t...

The incenter of the triangle formed by the axes and the line `x/a+y/b=1`

Text Solution

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`(x_1,y_1)=(a,0)`
`(x_2,y_2)=(0,b)`
`(x_3,y_3)=(0,0)`
`l=sqrt(0^2+b^2)=|b|`
`m=sqrt(a^2+0^2)=|a|`
`n=sqrt(a^2+b^2)`
`I=(a|b|+b|a|+o)/(|a|+|b|+sqrt(a^2+b^2)),(b|a|+0+0)/(|a|+|b|+sqrt(a^2=b^2)}`
`I=(a|b|)/(|a|+|b|+sqrt(a^2+b^2)),(|a|b)/(|a|+|b||sqrt(a^2+b^2)}`
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