Find the distance of the line `4x" ""- "y" "=" "0` from the point P(4, 1) measured along the line making an angle of `135o` with the positive xaxis.

Explanation

Equation of line which is making angle `135^@` with positive x-axis is,

`(y-1)=tan135^@(x-4)`

`\implies x+y=5`

Let `4x-y=0\ldots`(i)

and `x+y=5ldots`(ii)

Putting `y=5-x` from (ii) in (i), we get `4x-(5-x)=0`

`\implies x=1`

and `y=4`

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