The value of the determinant `|(x, x+a, x+2a),(x,x+2a, x+4a),(x, x+3a, x+6a)|` is (A) 0 (B) `a^3-x^3` (C) `x^3-a^3` (D) `(x-a)^3`

Write the value of the determinant |2 3 4 2x3x4x5 6 8| .

Prove that : |{:(x+a,x+2a,x+3a),(x+2a,x+3a,x+4a),(x+4a,x+5a,x+6a):}|=0

Choose the correct answer in questions 17 to 19: If a, b, c are in A.P., then the determinant [{:(x+2,x+3,x+2a),(x+3,x+4,x+3b),(x+4,x+5,x+2c):}] is : (a) 0 (b) 1 ( c) x (d) 2x

If a, b, c, are in A.P, then the determinant |x+2x+3x+2a x+3x+4x+2b x+4x+5x+2c| is (A) 0 (B) 1 (C) x (D) 2x

Find the value of n if a= 2^3 x 3, b = 2 x 3 x 5, c = 3^n x 5 and LCM (a, b, c) = 2^3 x 3^2 x 5.

det[[x+a,x+2a,x+3ax+2a,x+3a,x+4ax+4a,x+5a,x+6a]]=0

Consider the determinant D= |(x+2,2x+3,3x+4), (x+1, x+1, x+1), (0, 1, 3x +8)| If the determinant is expanded in the power of x, the coefficient of x is