The value of `|(0,a-b,a-c),(b-a,0,b-c),(c-a,c-b,0)|` is

Prove that : |{:(0,a-b,a-c),(b-a,0,b-c),(c-a,c-b,0):}|=0

If a,b,c are in G.P. then the value of |(a,b,a+b),(b,c,b+c),(a+b,b+c,0)|= (A) 1 (B) -1 (C) a+b+c (D) 0

Value of determinant |{:(0,b,-c),(-b,0,a),(c,-a,0):}| is equal to

What is the value of |{:(a,b,c),(b,c,a),(c,a,b):}| "if a"^(3) + b^(3) + c^(3) = 0 ?

If a + b + c = 0, then one of the solution of |(a-x,c,b),(c,b-x,a),(b,a,c-x)| = 0 is

If |(a,-b,a-b-c),(-a,b,-a+b-c),(-a,-b,-a-b+c)| - kabc = 0 (a != 0, b != 0, c != 0) then what is the value of k ?

If a-b,b-c are the roots of ax^(2)+bx+c=0 then the value of ((a-b)(b-c))/(c-a) ,is