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

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0,52

0,0

0,5

0,3

answer is A.

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Detailed Solution

The diagonal of rhombus is parallel to angle bisector of given lines.∴ Diagonals are 2y+x=5 and2x−y=0 ∴ Possible coordinates of A are 0,52 or (0, 0)

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