In the given figure, the line segment XY is parallel to side AC of ΔABC and divides the triangle into two parts of equal areas, then ratio of AX and AB is

1
\(\sqrt{2}+1 : \sqrt{2}\)
2
\(2-\sqrt{2} : 2\)
3
\(1 : \sqrt{2}\)
4
1 ∶ 1

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