" (c) "a^(2)-b^(2)-c^(2)-2bc

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

(a+b+c)(a^(2)+b^(2)+c^(2)-ab-bc-ac)

|(a,b,c),(a^(2),b^(2),c^(2)),(bc,ca,ab)|=

Show that the determinant |(a^(2)+b^(2)+c^(2),bc+ca+ab,bc+ca+ab),(bc+ca+ab,a^(2)+b^(2)+c^(2),bc+ca+ab),(bc+ca+ab,bc+ca+ab,a^(2)+b^(2)+c^(2))| is always non - negative

If a/b = b/c = c/d , then prove that (a^(2) + b^(2) + c^(2))(b^(2) + c^(2)+d^(2)) = (ab + bc cd)^(2)

If a,b,c and d are in G.P.show that (a^(2)+b^(2)+c^(2))(b^(2)+c^(2)+d^(2))=(ab+bc+cd)^(2)

If (a^(2)+b^(2)+c^(2))(b^(2)+c^(2)+d^(2))<=(ab+bc+cd)^(2) where a,b,c,d are non-zero real numbers,then they are in