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Find the distance of the line 4x" -"y" "...

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.

Text Solution

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In order to find the distance of the line from the point `P(4,1)` along another line, we have to find the point of intersection of both the lines.
For this purpose, we will first find the equation of the second line.
Slope of second line is `tan135^∘ =−1`.
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