If `a,b,c` are non-zero real number such that `|(bc,ca,ab),(ca,ab,bc),(ab,bc,ca)|=0,` then

|{:(a^2,ab,ac),(ab,b^2,bc),(ca,bc,c^2):}|= ?

If a,b,c are non-zero real numbers, then |(1,ab,(1)/(a)+(1)/(b)),(1,bc,(1)/(b)+(1)/(c)),(1,ca,(1)/(c)+(1)/(a))| is a)0 b)bc+ca+ab c) a^(-1)+b^(-1)+c^(-1) d)None of these

If a,b, and c are non - zero real numbers, then Delta=|(b^(2)c^(2),bc,b+c),(c^(2)a^(2),ca,c+a),(a^(2)b^(2),ab,a+b)| is equal to a) abc b) a^(2)b^(2)c^(2) c)bc+ca+ab d)None of these

If a,b,c are non-zero real numbers then D=det[[b^(2)c^(2),bc,b+cc^(2)a^(2),ca,c+aa^(2)b^(2),ab,a+b]]=(A)abc(B)a^(2)b^(2)c^(2)(C)bc+ca+ab(D)0,

|(1,bc,bc(b+c)),(1,ca,ca(c+a)),(1,ab,ab(a+b))|=

Without expanding show that : |(1,bc,bc(b+c)),(1,ca,ca(c+a)),(1,ab,ab(a+b))|=0

Suppose a, b, c are in A.P. Prove that (ab+bc+ca)/(bc),(ab+bc+ca)/(ca),(ab+bc+ca)/(ab) are in A.P.