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Maths 1 Marks Question

PART - 1 CH - 1 Sets · CBSE STD 11 Science (CBSE - English Medium). 14 questions.

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1 Marks Question

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14 questions · timed · auto-graded

Question 11 Mark
Write true/false for the following sets?
(i) $\phi \in \phi$
(ii) $0 \in \phi$
(iii) $\phi=\{0\}$
Answer
(i) False, because $\phi$ does not have any element.
(ii) False, because $\phi$ does not have any element.
(iii) False, because $\phi$ does not have any element.
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Question 21 Mark
Write the distributive law for any three sets A, B and C.
Answer
(i) $A \cup( B \cap C )=( A \cup B ) \cap( A \cup C )$
(ii) $A \cap( B \cup C )=( A \cap B ) \cup( A \cap C )$
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Question 31 Mark
Write the association law for any three sets A, B and C.
Answer
(i) $A \cup(B \cup C)=(A \cup B) \cup C$
(ii) $A \cap(B \cap C)=(A \cap B) \cap C$
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Question 41 Mark
Write the following set in the set-builder form:
$B=\{1,5,10,15, \ldots .\}$
Answer
$B =\{x: x$ is a natural number and multiple of 5 and $x \geq 1\}$
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Question 51 Mark
Write the following set in the set-builder form :
$A=\left\{1, \frac{1}{4}, \frac{1}{9}, \frac{1}{16}, \frac{1}{25}, \ldots \ldots\right\}$
Answer
$A =\left\{\frac{1}{n^2} ; n \in N\right\}$
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Question 91 Mark
Write the De Morgan's Law.
Answer
(i) $( A \cup B )^{\prime}= A ^{\prime} \cap B ^{\prime}$
(ii) $( A \cap B )^{\prime}= A ^{\prime} \cup B ^{\prime}$
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Question 101 Mark
Write any two universal sets $U$ whose subsets are $A =\{a, b, d\}, B =\{x \mid x$ is a letter of word Udaipur $\}$ and $C =\{a, i, u\}$.
Answer
$\begin{array}{l} U =\{a, b, d, i, u, p, r\} \text { and } \\ U =\{x \mid x \text { is a letter of English alphabet }\}\end{array}$
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Question 121 Mark
If the number of elements in A and B are 4 and 7 respectively, then find the minimum number of elements in $A \cup B$.
Answer
Here, $n(A)=4$ and $n(B)=7$
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Question 131 Mark
If $P =\{1,3,5,7,9\}$ and $P ^{\prime}=\{2,4,6,8\}$ then find the universal set.
Answer
$U=\{1,2,3,4,5,6,7,8,9\}$
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Question 141 Mark
If $U =\{a, e, i, o, u\}$ and $A ^{\prime}=\{e, i, u\}$ then write A in the roster form.
Answer
$A =\{a, o\}$
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