If x : y : : y : z , then x : z is equal to

The value of ( x-y ) ( x + y ) + ( y -z ) ( y + z ) + (z-x ) (z + x ) is equal to

If x+y +z=0 , then (x+y) (y+z) (z+x) is equal to which of the following:

If x+y+z=0, then (x+y)(y+z)(z+x) is equal :

If x,y,z are any three real numbers, then tan (x-y) + tan (y-z) + tan (z-x) is equal to

If x,y , z are in A.P then (x-y)/(y-z) is equal to _________-

If xyz=m and det p=|{:(x,y,z),(z,x,y),(y,z,x):}| , where p is an orthogonal matrix. If y=x=z, then z is equal to

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)