Let A = Set of all rational numbers and `B={x:x^(2)-4x+2=0}`. Then find A-B,B -A and A`cap` B.

Let Q be the set of all rational numbers and * be the binary operation , defined by a * b=a+ab for all a, b in Q. then ,

Let A = Q xx Q, where Q is the set of all rational numbers, and * be abinary operation defined on A by (a, b) * (c, d) = (ac, b + ad), for all (a, b) (c, d) in A.Find the identity element in A.

Let * be a binary operation on the set Q of all rational number given as a*b= (2a-b)^(2) for all a,b in Q find 3*5 and 5*3 Is 3*5=5*3?

Let S be the set of all rational numbers except 1 and * be defined on S by a*b=a+b-ab, for alla ,b in S. Find its identity element

If A={x:x=3n,n in N} and B={x:x=4n,n in N} , then find A cap B .

Let A = (x : x is a square of a natural number and x is less than 100) and B is a set of even natural numbers. What is the cardinality of A cap B ?

Let Z be the set of all integers and A={(a,b):a^(2)+3b^(2)=28 ,a,b in Z} and B ={(a,b):a gt b in Z ) then the number of elements is A cap B , is

(i) If A={x:x^(2)-2x+1=0}and B={x:x^(3)-x^(2)-2x=0} , then find A cupB and A cap B (ii) If A={1,2,3,4},B={2,4,6,8} and U={1,2,3,....,9} , then verify that : (A cupB)'=A'capB' (iii) If A ={1,2,3},B={2,3,4}and U={1,2,3,4,5} , then find A' cap B' .