Straight lines

Geometry Level 4

Two sides of a rhombus ABCD are parallel to the lines y = x + 2 y = x + 2 and y = 7 x + 3 y = 7x + 3 . If the diagonals of the rhombus intersect at the point ( 1 , 2 ) (1,2) and the vertex A is on the y-axis, then possible co-ordinates of A is

(0,1) (0,3) (0,0) (0,-1)

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