The value of a2+1abacbab2+1bccacbc2+1 is
a+b+c2
a2+b2+c2
a2+b2+c2+1
1
Explanation for correct option
a2+1abacbab2+1bccacbc2+1=1abcaa2+1a2ba2cb2abb2+1b2cc2ac2bcc2+1;R1→aR1,R2→bR2,R3→cR3=a2+1a2a2b2b2+1b2c2c2c2+1;C1→1aC1,C2→1bC2,C3→1cC3=a2+b2+c2+1a2+b2+c2+1a2+b2+c2+1b2b2+1b2c2c2c2+1;R1=R1+R2+R3=a2+b2+c2+1111b2b2+1b2c2c2c2+1=a2+b2+c2+1100b210c201;C2→C2-C1,C3→C3-C1
=a2+b2+c2+111×1-0 [Expanding along R1 we get]
=a2+b2+c2+1
Hence, the correct option is OptionC