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In a triangle A B C , a line X Y is d...

In a triangle `A B C` , a line `X Y` is drawn parallel to `B C` meeting `A B` in `X` and `A C` in `Y` . The area of the triangle `A X Y` is half of the area of the triangle `A B C` . `X Y` divides `A B` in the ratio of `1\ :sqrt(2)` (b) `sqrt(2)\ :(sqrt(2)-1)` (c) `1\ :(sqrt(2)-1)` (d) `sqrt(2)\ :sqrt(3)`

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