Find the equation of st. line passing through the point of intersection x+y+1=0 and 2x-y+5=0
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Any line through the intersection of given lines is P+λQ=0
or (x−3y+1)+λ(2x+5y−9)=0
Its slope will be infinite if it is perpendicular to x-axis i.e. parallel to y-axis.
Hence the coefficient of y will be zero.
∴−3+5y=0
or λ=3/5. Putting for λ the line is x−2=0. Clearly its distance from (0,0) is 2.
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