If `x,y` are real numbers such that `xy< 1` then `Tan ^-1 x +Tan ^-1 y = Tan^-1 ( (x + y) / (1 - xy))`

If x,y,z are real numbers such that xy=6,x-z=2 and x+y+z=9, compute (x)/(y)-(z)/(x)-(z^(2))/(xy)

If x, y are two real numbers such that xy = 5, then :

If x and y are real numbers such that x gt y and |x| gt |y| , then :

If x and y are real numbers such that sin^2theta=(x^2+y^2)/(2xy) show that x=y .

If x and y are real number such that x^2 +2xy-y^2=6 , find the minimum value of (x^2+y^2)^2

If x and y are real number such that x^(2)+2xy-y^(2)=6, find the minimum value of (x^(2)+y^(2))^(2)

x,y,z are real numbers such that x+y+z=3 and xy+yz+zx=a (where a is a real parameter). Determine the value of 'a' for which the difference between the maximum and minimum value of x is equal to 8.

Find all ordered pairs (x,y) of real numbers such that x^(2)+4y^(2)-xy=10,2x-4y+3xy=11

If x, y are positive real numbers such that xy = 1 then show that the minimum value of x + y is 2.

If x,y,z are positive real numbers such that x^(2)+y^(2)+Z^(2)=7 and xy+yz+xz=4 then the minimum value of xy is