If , , and are non-zero real numbers and the equations , , and have a non-trivial…

MATHEMATICS · Single correct · CBSE · Mathematics · Determinants · Determinants

Problem

a

b

, and

c

are non-zero real numbers and the equations

(a-1)x=y+z

(b-1)y=z+x

, and

(c-1)z=x+y

have a non-trivial solution, then

ab+bc+ca

equals (1)

a+b+c

(2)

abc

(3)

1

(4) None of these