Let `f (x,y)= x^(2) - y^(2) and g (x,y)=2xy.` such that `(f ( x,y))^(2) -(g (x,y))^(2)=1/2 and f (x,y) . G(x,y) =(sqrt3)/(4)` Find the number of ordered pairs `(x,y) ` ?

If f(x+y,x -y)= xy then (f(x,y)+f(y,x))/(2)=

If f(x+y,x -y)= xy then (f(x,y)+f(y,x))/(2)=

Let f(x,y)=x^(2)+2xy+3y^(2)-6x-2y, where x, y in R, then

Let f(x,y)=x^(2)+2xy+3y^(2)-6x-2y, where x, y in R, then

If f(x,y)=2x^(2)-xy+2y^(2) then find f_x at the point (1,2)

If f(x,y)=2x^(2)-xy+2y^(2) then find f_x at the point (1,2)

Let f :R to R be a continous and differentiable function such that f (x+y ) =f (x). F(y)AA x, y, f(x) ne 0 and f (0 )=1 and f '(0) =2. Let g (xy) =g (x). g (y) AA x, y and g'(1)=2.g (1) ne =0 The number of values of x, where f (x) g(x):

Let f :R to R be a continous and differentiable function such that f (x+y ) =f (x). F(y)AA x, y, f(x) ne 0 and f (0 )=1 and f '(0) =2. Let f (xy) =g (x). G (y) AA x, y and g'(1)=2.g (1) ne =0 The number of values of x, where f (x) g(x):

f(x,y) = (max (x,y))^((min(x,y))) and g(x,y)= max (x,y) - min (x,y) then f(g(-1,-3/2),g(-4,-1.75))=.........