IF rank of `((x,x,x),(x,x^2,x),(x,x,x+1))` is 1 , then

If rank of ([x,x,xx,x^(2),xx,x,x+1]) is 1, then

The rank of matrix [(x, -1, 0), (0, x, -1), (-1, 0,x)] is 2 then value of x is:

Prove that |(1,x,x^2),(x^2,1,x),(x,x^2,1)|=(1-x^2) .

The constant term of the polynomial |(x+3,x,x+2),(x,x+1,x-1),(x+2,2x,3x+1)| is

The constant term of the polynormial {|:(x+3,x,x+2),(x,x+1,x-1),(x+2,2x,+3x+1):|} is

If D(x)=det[[(x-1),(x-1)^(2),x^(3)(x-1),x^(2),(x+1)^(3)x,(x+1)^(2),(x+1)^(3) then the coefficient of x in D(x), is ]]

If f(x)=|(1,x,x+1),(2x,x(x-1),(x+1)x),(3x(x-1),x(x-1)(x-2),(x+1)x(x-1))|, then f(100) is equal to - (i)0 (ii)1 (iii)100 (iv)-100

If f(x)=|\(1,x,x+1),(2x,x(x-1),(x+1)x,3x(x-1),x(x-1)(x-2),(x+1)x(x-1))| then f(100) is equal to (A) 0 (B) 1 (C) 100 (D) -100

If f(x)=|\(1,x,x+1),(2x,x(x-1),(x+1)x,3x(x-1),x(x-1)(x-2),(x+1)x(x-1))| then f(100) is equal to (A) 0 (B) 1 (C) 100 (D) -100