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

If (y^(2)-6y+3)(x^(2)+x+1)lt2x AA x in R, then sum of all integral values of y is

If the equation x^(2)+9y^(2)-4x+3=0 is satisfied for all real values of x and y, then

If f(x+y)=f(x)+f(y) for all real x and y, show that f(x)=xf(1) .

The f(x) is such that f(x+y) = f(x) + f(y) , for all reals x and y xx then f(0) =

If 4x+3y-12=0 touches (x-p)^(2)+(y-p)^(2)=p^(2) , then the sum of all the possible values of p is

If 4x+3y-12=0 touches (x-p)^(2)+(y-p)^(2)=p^(2) , then the sum of all the possible values of p is

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 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 x is real then possible integral value of y such that x^(2)+y^(2)-4y+3=0, can be

Is the equation sec^(2)theta=(4xy)/((x+y)^(2)) possible for real values of x and y ?