Position of a Point with Respect to a Line
Category : JEE Main & Advanced
Let the given line be \[ax+by+c=0\] and observing point is \[({{x}_{1}},\,{{y}_{1}})\], then
(i) If the same sign is found by putting in equation of line \[x={{x}_{1}},\,y={{y}_{1}}\] and \[x=0,\,\,y=0\] then the point \[({{x}_{1}},\,{{y}_{1}})\] is situated on the same side of origin.
(ii) If the opposite sign is found by putting in equation of line \[x={{x}_{1}},\,\,y={{y}_{1}}\] and \[x=0,\,\,y=0\] then the point \[({{x}_{1}},\,{{y}_{1}})\] is situated opposite side to origin.
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