CBSE Class 11 Mathematics Complex Numbers and Quadratic Equations Assignment Set A

1) X= {8n - 7n – 1 : n ε N} and Y= {49(n-1) : n ε N}, then prove that X⊆Y.

2) If A and B are two sets such that A⊂B, then write B’ - A’ in terms of A and B.

3) Let A and B be two sets having 4 and 7 elements respectively. Then write the maximum number of
elements that AUB can have.

4) Find the symmetric difference of A={x ε C : x² = 1} and B={ x ε C : x⁴ = 1}

5) Using properties of sets, show that for any two sets A and B,
i) (AUB) ∩(A∩B’) =A
ii) (A-B) U(B-A) =(AUB) -(A∩B)

6) A survey shows that 63% of the Americans like cheese whereas 76% like apples. If x% of the
Americans like both cheese and apples. Find the value of x.

7) In a survey of 100 students , the number of students studying the various languages were found to be English only 18, English but not Hindi 23, English and Sanskrit 8, English 26, Sanskrit 48, Sanskrit and Hindi 8, no language 24. Find i) How many students were studying Hindi ii) How many students were studying English and Hindi.

8) State and prove De-Morgan’s laws.

9) Find the power set of {∅, {∅}}

10) For two sets A and B define symmetric difference