If `|(x^(n),x^(n+2),x^(n+3)),(y^(n),y^(n+2),y^(n+3)),(z^(n),z^(n+2),z^(n+3))|`
`= (x -y) (y -z) (z -x) ((1)/(x) + (1)/(y) + (1)/(z))`, then n equals

If |(x^(n),x^(n+2),x^(n+3)),(y^(n),y^(n+2),y^(n+3)),(z^(n),z^(n+2),z^(n+3))|=(x-y)(y-z)(z-x)((1)/(x)+(1)/(y)+(1)/(z)) then value of n is a)-1 b)-2 c)1 d)2

Let n be an integer and x,y,z lt1 . Suppose Delta=|(x^(n+1),x^(n+2),x^(n+3)),(y^(n+1),y^(n+2),y^(n+3)),(z^(n+1),z^(n+2),z^(n+3))| If Delta=(x-y)(y-z)(z-x)x^(2)y^(2)z^(2) then n is equal to

If |[x^(n-1), x^(n+1), x^(n+2)] ,[y^(n-1), y^(n+1), y^(n+2)], [z^(n-1), z^(n+1), z^(n+2)]|= (x-y)(y-z)(z-x)(x^(-1)+y^(-1)+z^(-1)) then n=

If |x^n x^(n+2)x^(n+3)y^n y^(n+2)y^(n+3)z^n z^(n+2)z^(n+3)|=(x-y)(y-z)(z-x) (1/x+1/y+1/z), then n equals 1 b. -1 c. 2 d. -2

If |x^n x^(n+2)x^(n+3)y^n y^(n+2)y^(n+3)z^n z^(n+2)z^(n+3)|=(x-y)(y-z)(z-x)(1/x+1/y+1/z), then n equals 1 b. -1 c. 2 d. -2

If |[x^n,x^(n+2),x^(n+4)],[y^n,y^(n+2),y^(n+4)],[z^n, z^(n+2),z^(n+4)]|=(1/(y^2)-1/(x^2))(1/(z^2)-1/(y^2))(1/(x^2)-1/(z^2)) then n is __________.

If |[x^n,x^(n+2),x^(n+4)],[y^n,y^(n+2),y^(n+4)],[z^n, z^(n+2),z^(n+4)]|=(1/(y^2)-1/(x^2))(1/(z^2)-1/(y^2))(1/(x^2)-1/(z^2)) then n is __________.

If |x^n x^(n+2)x^(n+4)y^n y^(n+2)y^(n+4)z^n z^(n+2)z^(n+4)|=(1/(y^2)-1/(x^2))(1/(z^2)-1/(y^2))(1/(x^2)-1/(z^2)) then n is __________.

If |x^n x^(n+2)x^(n+4)y^n y^(n+2)y^(n+4)z^n z^(n+2)z^(n+4)|=(1/(y^2)-1/(x^2))(1/(z^2)-1/(y^2))(1/(x^2)-1/(z^2)) then n is __________.