Two sides of a rhombus are along the lines,`x-y+1=0` and `7x-y-5=0` . If its diagonals intersect at `(-1,-2)` , then which one of the following is a vertex of this rhombus ? (1) `(-3,-9)` (2) `(-3,-8)` (3) `(1/3,-8/3)` (4) `(-(10)/3,-7/3)`

Two sides of a parallelogram are along the lines x+y=3 and x=y+3. If its diagonals intersect at (2, 4) , then one of its vertices is

Two sides of a parallelogram are along the lines x+y=3 and x-y+3=0 .If its diagonal intersect at (2,4) then one of its vertex is

Two sides of a Rhombus ABCD are parallel to the lines x-y=5 and 7x-y=3. The diagonals intersect at (2,1) then the equations of the diagonals are

Two adjacent sides of a rhombus are 2x+3y=a-5 and 3x+2y=4-2a and its diagonals intersect at the point (1,2) then a can be

Sides of a rhombus are parallel to x+y=0,7x=y. Its centre is (2,7), then its diagonals are

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

Two sides of a rhombus lying in the first quadrant are given by 3x-4y=0 and 12x-5y=0. If the length of the longer diagonal is 12, then find the equations of the other two sides of the rhombus.

The sides of a rhombus ABCD are parallel to the lines x−y+2=0 and 7x−y+3=0 , If the diagonals of the rhombus intersect at P(1,2) and the vertex A (different from the origin) is on the y-axis then the ordinate of A is:

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))

One side of a rectangle lies along the line 4x + 7y + 5 = 0. Two of its vertices are (-3, 1) and (1, 1). Which of the following is not an equation of the other three straight lines?