If `x + y = a` and `x + 2y = 2a` are the adjacent sides of a rhombus whose diagonals intersect at `(1, 2)`, then sum of all possible values of `a` is

In a rhombus ABCD, diagonals intersects at O. The sum of AC^(2) + BD^(2) are :

If (x^(2)-7x+9)^(x^(2)-8x+7)=1 then sum of all possible values of x is :

Fill in the blanks. Side of the rhombus whose diagonals are x and y is _________ .

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

If a point (1,4) lies inside the circle x^(2) +y^(2) - 6x -10 y +p=0 and the circle does not touch or intersect the coordinate axes , then the set of all possible values of p is the interval.

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

The sides of a rhombus are parallel to y=2x+3 and 2y=x+5. The diagonals of the rhombus intersect at (1,2). If one vertex of the rhombus lies on the y-axis then possible values of the ordinates of this vertex are 1 (b) 2 (c) 3 (d) 4

The sides of a rhombus are parallel to y=2x+3a n d2y=x+5 . The diagonals of the rhombus intersect at (1, 2). If one vertex of the rhombus lies on the y-axis then possible values of the ordinates of this vertex are 1 (b) 2 (c) 3 (d) 4