The correct option is B 8
We divide LHS by λ4 and C1 by λ2 ,C2 by λ and C3 by λ on the RHS to obtain ,
p+q(1λ)+r(1λ)2+s(1λ)3+t(1λ)4
=∣∣
∣
∣∣1+3/λ1−1/λ1+3/λ1+1/λ22/λ+51−3/λ1−3/λ21+4/λ23∣∣
∣
∣∣
taking limit as λ→∞ we get
p=∣∣
∣∣111151113∣∣
∣∣=∣∣
∣∣111040002∣∣
∣∣=8 ---------[using R2→R2−R1,R3→R3−R1]