2006 Cyprus MO/Lyceum/Problem 11

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Problem

2006 CyMO-11.PNG

The lines $(\epsilon):x-2y=0$ and $(\delta):x+y=4$ intersect at the point $C$. If the line $(\delta)$ intersects the axes $Ox$ and $Oy$ to the points $A$ and $B$ respectively, then the ratio of the area of the triangle $OAC$ to the area of the triangle $OBC$ equals

A. $\frac{1}{3}$

B. $\frac{2}{3}$

C. $\frac{3}{5}$

D. $\frac{1}{2}$

E. $\frac{4}{9}$

Solution

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See also

2006 Cyprus MO, Lyceum (Problems)
Preceded by
Problem 10
Followed by
Problem 12
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