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In the figure, X and Y are two points on the sides AB and AC respectively in $\triangle ABC$, such that $AX = 3.4$ cm, $AB = 8.5$ cm, $AY = 2.6$ cm and $YC = 3.9$ cm. Which of the following relation is correct ?

- (a)$BC = 2XY$
- (b)$BC$ is not parallel to $XY$
- (c)$3BC = 2XY$
- (d)$BC \parallel XY$
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(D) $BC \parallel XY$