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

bc - b - c - b - c c b

a - bb - baa - bbb - aa -

c - abbcc - bb - cab -c - abb

c c cbb - aa - c c - bbbaa -

If the determinant |b-cc-a a-bb^(prime)-c ' c^(prime)-a ' a^(prime)-b ' b^-c ' ' c^-a ' ' a^-b ' '|=m|a b c a ' b ' c ' a ' ' b ' ' c ' '| , then the value of m s 0 b. 2 c. 1 d. -1

Suppose a, b, c in C, and |a| = |b| = |c| = 1 and abc = a + b + c , then |bc + ca + ab| is equal to

Prove that =|a cc-a a+cc bb-c b+c a-bb-c0a-c x y z1+x+y|=0 implies that a ,b ,c are in A.P. or a ,c ,b are in G.P.

The product of all values of t , for which the system of equations (a-t)x+b y+c z=0,b x+(c-t)y+a z=0,c x+a y+(b-t)z=0 has non-trivial solution, is |a-c-b-c b-a-b-a c| (b) |a b c b c a c a b| |a c bb a cc b a| (d) |a a+bb+c bb+cc+a cc+a a+b|

Show that: |a b-cc+b a+c b c-a a-bb+a c|=(a+b+c)(a^2+b^2+c^2)dot

If a, b and c are distinct positive real numbers such that Delta_(1) = |(a,b,c),(b,c,a),(c,a,b)| and Delta_(2) = |(bc - a^2, ac -b^2, ab - c^2),(ac - b^2, ab - c^2, bc -a^2),(ab -c^2, bc - a^2, ac - b^2)| , then