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CBSE - Class 11 > Mathematics > Sets Worksheets

Free CBSE - Class 11 Mathematics - Sets worksheets

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Here is a Sample Worksheet for you to Practice. Download this worksheet to see the answers.

1.
Show that for any sets $A$ and $B$, $A = ( A \cap B ) \cup ( A – B )$ and $A \cup ( B – A ) = ( A \cup B )$
2.
Using properties of sets, show that (i) $A \cup ( A \cap B ) = A$
3.
Using properties of sets, show that (ii) $A \cap ( A \cup B ) = A$.
4.
Show that $A \cap B = A \cap C$ need not imply $B = C$.
5.
Let $A$ and $B$ be sets. If $A \cap X = B \cap X = \phi$ and $A \cup X = B \cup X$ for some set $X$, show that $A = B$. (Hints $A = A \cap ( A \cup X ) , B = B \cap ( B \cup X )$ and use Distributive law )
6.
Find sets $A, B$ and $C$ such that $A \cap B, B \cap C$ and $A \cap C$ are non-empty sets and $A \cap B \cap C = \phi$.
7.
In each of the following, determine whether the statement is true or false. If it is true, prove it. If it is false, give an example. (iv) If $A \not\subset B$ and $B \not\subset C$, then $A \not\subset C$
8.
Let $A, B$, and $C$ be the sets such that $A \cup B = A \cup C$ and $A \cap B = A \cap C$. Show that $B = C$.
9.
Show that the following four conditions are equivalent : (i) $A \subset B$
10.
Show that the following four conditions are equivalent : (ii) $A – B = \phi$
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Chapters in CBSE - Class 11 Mathematics

Mathematics Worksheet Relations and Functions Worksheet Trigonometric Functions Worksheet Complex Numbers Worksheet Linear Inequalities Worksheet Permutations and Combinations Worksheet Binomial Theorem Worksheet Sequences and Series Worksheet Straight Lines Worksheet Conic Sections Worksheet Introduction to Three Dimensional Geometry Worksheet Limits and Derivatives Worksheet Statistics Worksheet Probability Worksheet

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Top Tutors who teach CBSE - Class 11 Mathematics Sets

Rahul Verma Sets in Delhi

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Rahul Verma
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