If `2^(2x+y)=4^(x-y-3)=1,` then `(x,y)` is:

If 3/(x+y)+2/(x-y)=2 and 9/(x+y)-4/(x-y)=1 , then what is the value of x/y ?

If (x+y): (x-y)= 4:1, then find the ratio (x^(2)+y^(2)):(x^(2)-y^(2))

If ((2x-y)/(x+2y))=(1)/(2), then find the value of ((3x-y)/(3x+y))

If (3)/(x+y)+(2)/(x-y)=2 and (9)/(x+y)-(4)/(x-y)=1 then what is (x)/(y) equal to ?

If y=(x-3)/(x-4)," then "(y-1)y_(2)=

If 2x-1/(3x)=y then 9x^2+1/(4x^2) in terms of y is

If (3)/(2) x + 2y = (x)/(4) - (y)/(2) =1 , then x -y =

If the co-ordinates of the vertices of an equilateral triangle with sides of length a are (x_1,y_1), (x_2, y_2), (x_3, y_3), then |[x_1,y_1,1],[x_2,y_2,1],[x_3,y_3,1]|=(3a^4)/4

If A(x_1, y_1),B(x_2, y_2) and C(x_3,y_3) are vertices of an equilateral triangle whose each side is equal to a , then prove that |[x_1,y_1, 2],[x_2,y_2, 2],[x_3,y_3, 2]|^2=3a^4