If `a+b+c lt 0, and Delta=|(a,b,c),(b,c,a),(c,a,b)|`, then

If Delta_(1)=|(b+c,c+a,a+b),(c+a,a+b,b+c),(a+b,b+c,c+a)| and Delta_(2)=|(a,b,c),(b,c,a),(c,a,b)| then (Delta_(1))/(Delta_(2))= _______

If Delta_(1)=|(b+c,a-b,a),(c+a,b-c,b),(a+b,c-a,c)| and Delta_(2)=|(a,b,c),(b,c,a),(c,a,b)| then Delta_(1)-Delta_(2) equual

Suppose a,b,c are sides of a scalene triangle. Let Delta=|(a,b,c),(b,c,a),(c,a,b)| Then

If a+b+c<0, and Delta=det[[a,b,cb,c,ac,a,b]], then

If Delta=|(0,b-a,c-a),(a-b,0,c-b),(a-c,b-c,0)| , then Delta eqauals

If Delta= {:|(0,b-a,c-a),(a-b,0,c-b),(a-c,b-c,0)| , then show that Delta is equal to zero.

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):}| Show that either a+b+c=0 or a=b=c

Suppose a,b,c are distinct real number and Delta=|(a,a^(2),b+c),(b,b^(2),c+a),(c,c^(2),a+b)|=0 Then a+b+c equals

if a+b+c=0 then Delta=|{:(a-x,c,b),(c,b-x,a),(b,a,c-x):}|=0 is