Universal set, U=x:x5-6x4+11x3-6x2=0,A=x:x2-5x+6=0andB=x:x2-3x+2=0. Then, A∩B' is equal to.
1,3
1,2,3
0,1,3
0,1,2,3
Explanation for the correct answer:
Find the value of A∩B' :
Given,
U={x:x5–6x4+11x3–6x2=0}⇒U={x:x2(x3−6x2+11x−6)=0}⇒U={x:x2(x−1)(x−2)(x−3)=0}A={x:(x−2)(x−3)=0}B={x:(x−1)(x−2)=0}
Now,
(A∩B)'={x:x2(x−1)(x−3)=0}⇒(A∩B)'=0,1,3.
Hence, the correct option is C.
Universal set, U=x:x5-6x4+11x3-6x2=0, A=x:x2-5x+6=0 and B=x:x2-3x+2=0 .Then, A∩B' is equal to