" 19."|[x+a,x+2a,x+3a],[x+2a,x+3a,x+4a],[x+4a,x+5a,x+6a]|=0

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

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

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

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, 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

If |[x,3, 6],[ 3, 6,x],[6,x,3]|=|[2,x,7],[x,7, 2],[ 7, 2,x]|=|[4, 5,x],[5,x,4],[x,4, 5]|=0, then x is equal to a. 0 b. -9 c. 3 d. none of these

If |[x,3, 6],[ 3, 6,x],[6,x,3]|=|[2,x,7],[x,7, 2],[ 7, 2,x]|=|[4, 5,x],[5,x,4],[x,4, 5]|=0, then x is equal to a. 0 b. -9 c. 3 d. none of these

If |[x,3, 6],[ 3, 6,x],[6,x,3]|=|[2,x,7],[x,7, 2],[ 7, 2,x]|=|[4, 5,x],[5,x,4],[x,4, 5]|=0, then x is equal to

Let Delta(x)=|[3,3x,3x^2+2a^2] , [3x, 3x^2+2a^2, 3x^3+6a^2x] , [3x^2+2a^2, 3x^3+6a^2x, 3x^4+12a^2x^2+2a^4]| then (a) Delta'(x) = 0 (b) Delta(x) is independent of x (c) int^1Delta(x)dx = 4a^6 (d) y=Delta(x) is a straight line

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