समीकरण `|(x+a,x+b,x+c),(x+b,x+c,x+a),(x+c,x+a,x+b)|=0`को हल कीजिए

Solve the equation |{:(x+a,x+b,x+c),(x+b,x+c,x+a),(x+c,x+a,x+b):}|=0

Solve the equation |{:(x+a,c+b,x+c),(x+b,x+c,x+a),(x+c,x+a,x+b):}|=0

If a ne b ne c , then solution of equation |{:(x-a,x-b,x-c),(x-b,x-c,x-a),(x-c, x-a,x-b):}|=0" "is:

|{:(a-x," "b," "c),(" "b,c-x," "a),(" "c," "a,b-x):}|=0

|{:(x+a," "b," "c),(" "a,x+b," "c),(" "a," "b,x+c):}|=0

Solve for x : |(x+a,b,c),(a,x+b,c),(a,b,x+c)|=0

The equation |(x-a,x-b,x-c),(x-b,x-a,x-c),(x-c,x-b,x-a)|=0 (a,b,c are different) is satisfied by (A) x=(a+b+c0 (B) x= 1/3 (a+b+c) (C) x=0 (D) none of these

The equation |(x-a,x-b,x-c),(x-b,x-a,x-c),(x-c,x-b,x-a)|=0 (a,b,c are different) is satisfied by (A) x=(a+b+c0 (B) x= 1/3 (a+b+c) (C) x=0 (D) none of these

If |(x +a,b,c),(a,x +b,c),(a,b,x +c)| = 0 , then x equals

Both the roots of the equation : (x - b) (x -c) + (x - c) (x - a) + (x - a) (x - b) = 0 are always :