If x and y are two positive real numbers `(x ne y)`, prove that `cos^(2) theta = ((x+y)^(2))/(4 xy)` is not possible.

sin^(2) theta = ((x+y)^(2))/(4xy) is true if and only if

If "cosec"^(2) theta = (4xy)/((x+y)^(2)) , then

The equation Sin^(2)theta=(x^(2)+y^(2))/(2xy),x,y!=0 is possible if

If x and y are two positive numbers such that x+y=32, then the minimum value of x^(2)+y^(2) is,

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

The equation cosec theta = (x^(2)+y^(2))/(2 xy) is (x != 0, y != 0)

If a,b,c are distincl positive real numbers such that the parabola y^(2) = 4ax and y^(2) = 4c ( x - b) will have a common normal, then prove that (b)/(a-c) gt 2