If `x=y^z,y=z^x,z=x^y` then

If x=y^(z), y = z^(x) and z=x^(y) , then

Area of the triangle formed by (x,y+z),(y,z+x),(z,x+y) is

If x/(y+z)=y/(z+x)=z/(x+y) prove that the value of each ratio is either 1/2 or -1.

If A=[(x,y,z),(y,z,x),(z,x,y)] and A^3=I_3 and xyz=2 and x+y+z gt 0 find the value of x^3+y^3+z^3 is

Let x, y, z are distinct cube roots of unity and the value of |[x,y-z,z-y],[x-z,y,z-x],[x-y,y-x,z]|=K then |K|

If x, y and z are the roots of the equation 2t^(3)-(tan[x+y+z]pi)t^(2)-11t+2020=0 , then |(x,y,z),(y,z,x),(z,x,y)| is equal to (where, [x] denotes the greatest integral value less than or equal to x)

If x, y and z are the roots of the equation 2t^(3)-(tan[x+y+z]pi)t^(2)-11t+2020=0 , then |(x,y,z),(y,z,x),(z,x,y)| is equal to (where, [x] denotes the greatest integral value less than or equal to x)

If |(x+y,y+z,z+x),(y+z, z+x,x+y),(z+x,x+y,y+z)| =k |(x,z,y),(y,x,z),(z,y,x)| , then k is equal to