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Find the coordinates of $C$ exactly.
Mathematics 9709 · AS & A Level · Coordinate geometry
Coordinate geometry — practice question
From the diagram, $A$ has the coordinates $(-1,3)$ and $B$ has the coordinates $(3,1)$. Line $L_1$ goes through $A$ and is parallel to $OB$. Line $L_2$ goes through $B$ and is perpendicular to $AB$. The lines $L_1$ and $L_2$ intersect at $C$.