if a,b,c are in A.P. show that : `| [ x+1, x+2,x+a],[x+2,x+3,x+b],[x+3,x+4,x+c ] |=0`

If a,b,c are in AP show that |[x+1,x+2,x+a],[x+2,x+3,x+b],[x+3,x+4,x+c]|=0

If a,b,c are in A.P then the value of det[[x+1,x+2,x+ax+2,x+3,x+bx+3,x+4,x+c]] is

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 |{:(x+2,x+3,x+a),(x+4, x+5, x+b),(x+6, x+7,x+c):}| is

If p,q,r are in A.P. Write the value of : |{:(x+1,x+2,x+p),(x+2,x+3,x+q),(x+3,x+4,x+r):}|

If a,b,c, are in A.P, then the determinant,det[[x+2,x+3,x+2ax+3,x+4,x+2bx+4,x+5,x+2c]] is

If a,b,c are in A.P .and f(x)=|[x^2+x+a+1, x^2+1, 1] , [2x^2+x+b-1, 2x^2-1, 1] , [3x^2+x+c-2, 3x^2-2, 1]| then f'(x) is

If a^x=b^y=c^z and a,b,c are in G.P. show that 1/x,1/y,1/z are in A.P.