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

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

If the equation ax ^(2) - 6xy +y ^(2) + 2gx + 2fy + x =0 represents a pair of lines whose slopes are m and m^(2), then sum of all possible values of |(3a)/(10)| 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

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

If the lines ax+y=0,x+ay+2=0 and x+y+a=0 (a in R) are concurrent lines,then sum of all possible value(s) of a is

If the diagonals of a rhombus are x and y, the what is its area ?

If the inequality x^(2)+y^(2)+xy+1>=h(x+y) holds for all real x and y, then the sum of all possible integral values of h is