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The sides of a rhombus are parallel to t...

The sides of a rhombus are parallel to the lines `x+y-1=0` and `7x-y-5=0.` It is given that the diagonals of the rhombus intersect at (1, 3) and one vertex, `A` of the rhombus lies on the line `y=2x` . Then the coordinates of vertex `A` are `(8/5,(16)/5)` (b) `(7/(15),(14)/(15))` `(6/5,(12)/5)` (d) `(4/(15),8/(15))`

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The sides of a rhombus are parallel to the lines x+y-1=0 and 7x-y-5=0. It is given that the diagonals of the rhombus intersect at (1, 3) and one vertex, A of the rhombus lies on the line y=2x . Then the coordinates of vertex A are (a) (8/5,(16)/5) (b) (7/(15),(14)/(15)) (c) (6/5,(12)/5) (d) (4/(15),8/(15))

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