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`

The value of the determinant |(x+2,x+3,x+5),(x+4,x+6,x+9),(x+8,x+11,x+15)| is

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

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

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

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+2b),(x+4,x+5,x+2c):}] is : (a) 0 (b) 1 ( c) x (d) 2x

The total number of distinct x in R for which |[x, x^2, 1+x^3] , [2x,4x^2,1+8x^3] , [3x, 9x^2,1+27x^3]|=10 is (A) 0 (B) 1 (C) 2 (D) 3

If a-2b+c=1 , then the value of |{:(x+1,x+2,x+a),(x+2,x+3,x+b),(x+3,x+4,x+c):}| is

If x/6+x/4=x/2+3/4, then x= (a) 9 (b) 6 (c) -9 (d) 4

intf(x)dx=2(f(x))^3+C ,and f(0)=0 then f(x) is (A) x/2 (B) x^2/2 (C) sqrt(x/3) (D) 2 sqrt(x/3)

If (x-2)/3=(2x-1)/3-1, then x= (a) 2 (b) 4 (c) 6 (d) 8