[" 1.If "a,b" and "c" are real numbers,and "],[qquad [Delta-cquad c+aquad a+b],[c+aquad a+bquad b+c],[a+bquad b+cquad c+a]]

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

If a, b and c are real numbers, and Delta=|[b+c,c+a,a+b],[c+a,a+b,b+c],[a+b,b+c,c+a]|=0 . Show that either a+b+c=0 or a=b=c

If a, b and c are real numbers, and Delta=|[b+c,c+a,a+b],[c+a,a+b,b+c],[a+b,b+c,c+a]|=0 . Show that either a+b+c=0 or a=b=c

Let a,b and c are real number and Delta=|{:(b+c,c+a,a+b),(c+a,a+b,b+c),(a+b,b+c,c+a):}|=0

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

If a, b and c are real numbers, and Delta=|b+cc+a a+b c+a a+bb+c a+bb+cc+a|=0 .Show that either a" "+" "b" "+" "c" "=" "0" "or" "a" "=" "b" "=" "c .

If a, b and c are real numbers, and triangle = |[b+c,c+a,a+b],[c+a,a+b,b+c],[a+b,b+c,c+a]| = 0 Show that either a+b+c = 0 or a=b=c

If a,b and c are real numbers, and Delta ={:[( b+c,C+a,a+b),( c+a,a+b,b+c),( a+b,b+c,c+a) ]:}=0 Show that either a+b+c=0 "or" a= b= c .

If a,b and c are real numbers, and Delta ={:[( b+c,C+a,a+b),( c+a,a+b,b+c),( a+b,b+c,c+a) ]:}=0 Show that either a+b+c=0 "or" a= b= c .

If a,b and c are real numbers, and Delta ={:|( b+c,C+a,a+b),( c+a,a+b,b+c),( a+b,b+c,c+a) |:}=0 Show that either a+b+c=0 "or" a= b= c .