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Q. A force $2$ units acts along the line $ x-4=y-5. $ The moment of the force about the point $ (1,\,\,1) $ along $Z-axis$ is equal to

J & K CETJ & K CET 2011Straight Lines

Solution:

Given equation of line, $ x-4=y-5 $
$ \Rightarrow $ $ x-y+1=0 $ ..(i)
Now, moment of the force
$ =F.d=2\times \frac{1}{\sqrt{2}} $
$ =\sqrt{2} $