[" If "n" is an integer and "y^(n)quad y^(n+2)quad y^(n+3)=(x-y)(y-z)(z-x)*((1)/(x)+(1)/(y)+],[z^(n)quad z^(n+2)quad z^(n+3)]

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, 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 a. 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 a. 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+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

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

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 n gt 3 , then xyz^(n)C_(0)-(x-1)(y-1)(z-1)""^(n)C_(1)+(x-2)(y-2)(z-2)""^(n)C_(2)- (x-3)(y-3)(z-3)""^(n)C_(3)+…..+(-1)^(n)(x-n)(y-n)(z-n)""^(n)C_(n) equals :