#Q65 Let S={1,2,3,…n}. The total number of unordered pairs of disjoint subsets of S is equal to

#Q66 The relation R defined on the set N of natural numbers by xRy⇔2x^2-3xy+y^2=0 is

#Q67If two sets A and B having 99 elements in common then number of elements common to each of the sets A×B and B×A are

#Q68 If |A|=m,|B|=n and |A∩B|=r then |(A×B)∩(B×A)|=

#Q69 If |A|=m, |B|=n,& |A∩B|=r then |(A×B)∪(B×A)|=

#Q70 Consider the following relation R on the set of real square matrices of order 3. R={(A,B):A=P^(-1) BP for some invertible matrix P } Then

#Q71 Which of the following statement is false.

#Q72 Let A={〈a_n 〉 ∶ a_n=1 for finitely many value of n} Consider a set S⊆R which is similar to A. Then which of the following is/are true?

#Q73 A={y:y=x-|x|,x∈R} and B={y:y=x+|x|,x∈R} Then which of the following is true.

#Q74 Which of the following set is not dense in IR.