1.

Find the distance between the parallel lines p(x+y)+g=0 and p(x+y)-r=0.

Answer» Correct Answer - `(|q+r|)/(sqrt2p`
Putting x=0 in px+py+q=0, we get y=(-q/p)
Required distance=length of perp. From `P(0,(-q)/(p))` on px+py-r=0
`(|pxx0+pxx((-q)/(p))-r|)/(sqrt(p^(2))+p^(2))=(|-q-r|)/(sqrt2p)=(|q+r|)/(sqrt2p)`


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