EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 2 - Set Theory and Relations>AMU-AT (B.Tech.) 2019>Q 2

EASY

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IMPORTANT

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Let $Y = \{1, 2, 3, 4, 5\}, A = \{1, 2\}, B = \{3, 4, 5\}$ and $ϕ$ denotes null set. If $(A \times B)$ denotes cartesian product of the sets $A$ and $B$ , then $(Y \times A) \cap (Y \times B)$ is

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Important Questions on Set Theory and Relations

MEDIUM

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IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 2 - Set Theory and Relations>AMU-AT (B.Tech.) 2019>Q 3

Let

A = \{2, 3, 4, 5, \dots ., 16, 17, 18\} .

Let

\approx

be the equivalence relation on

A \times A

cartesian product of

A

and

A

, defined by

(a, b) \approx (c, d)

if

a d = b c,

then the number of ordered pairs of the equivalence class of

(3, 2)

is

HARD

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EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 2 - Set Theory and Relations>AMU-AT (B.Tech.) 2018>Q 5

Let

R

and

S

be any two equivalence relations on a set

X

. Then which of the following is incorrect statement

EASY

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EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 2 - Set Theory and Relations>AMU-AT (B.Tech.) 2018>Q 6

Consider the following relations in the real numbers

R_{1} = \{(x, y) ∣ x^{2} + y^{2} \leq 25\}

and

R_{2} = \{(x, y), y \geq \frac{4 x^{2}}{9}\}

, then the range of

R_{1} \cap R_{2}

is

EASY

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EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 2 - Set Theory and Relations>AMU-AT (B.Tech.) 2018>Q 7

If

A

and

B

are disjoint sets, then

B \cap A^{'}

, where

A^{'}

is complement of

A

, is equal to

HARD

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IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 2 - Set Theory and Relations>AMU-AT (B.Tech.) 2017>Q 8

For any three sets

A, B

and

C

the set

(A \cup B \cup C) \cap {(A \cap B^{'} \cap C^{'})}^{'} \cap C^{'}

is equal to