If `a ,\ b ,\ c` are real numbers such that `|b+cc+a a+b c+a a+bb+c a+bb+cc+a|=0` , then show that either `a+b+c=0` or, `a=b=c` .

Prove that |b+c a a b c+a b cc a+b|=4a b c

If a ,b , c are nonzero real numbers such that |b cc a a b c a a bb c a bb cc a|=0,t h e n 1/a+1/(bomega)+1/(comega^2)=0 b. 1/a+1/(bomega^2)+1/(comega^)=0 c. 1/(aomega)+1/(bomega^2)+1/c=0 d. none of these

If a,b,c are real numbers such that c(a+b+c)<0, then b^(2)-4ac is

- aa bc a - b - c - - bb - c - c

Prove: |b+c a a b c+a b cc a+b|=4a b c

a,b and c are distinct real numbers such that a:(b+c)=b:(c+a)

Prove that: |1a a^2-b c1bb^2-c a1cc^2-a b|=0

If a, b and c are positive real numbers such that a

If a,b and c are real numbers,and Delta=det[[b+c,c+a,a+bc+a,a+b,b+ca+b,b+c,c+a]] either a+b+c=0 or a=b,=c