EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 2 - Set Theory and Relations>WBJEE 2020>Q 1

EASY

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IMPORTANT

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If the total number of $m$ -element subsets of the set $A = \{a_{1}, a_{2}, \dots, a_{n}\}$ is $k$ times the number of $m$ element subsets containing $a_{4}$ , then $n$ is

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Important Questions on Set Theory and Relations

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IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 2 - Set Theory and Relations>WBJEE 2018>Q 5

On

R

, a relation

ρ

is defined by

x ρ y

if and only if

x - y

is zero or irrational. Then,

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IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 2 - Set Theory and Relations>WBJEE 2018>Q 6

On the set

R

of real numbers, the relation

ρ

is defined by

x ρ y, (x, y) \in R

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EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 2 - Set Theory and Relations>WBJEE 2020>Q 2

Let the relation

ρ

be defined on

R

by

a ρ b

holds if and only if

a - b

is zero or irrational, then

EASY

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IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 2 - Set Theory and Relations>WBJEE 2020>Q 3

Let

ρ_{1}

and

ρ_{2}

be two equivalence relations defined on a non-void set

S

. Then

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EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 2 - Set Theory and Relations>WBJEE 2019>Q 4

Let the relation $\rho$ be defined on

R

as

a ρ b

if

1 + a b > 0 .

Then

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IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 2 - Set Theory and Relations>WBJEE 2018>Q 7

Let

ρ

be a relation defined on

N,

the set of natural numbers, as

ρ = {(x, y) \in N \times N : 2 x + y = 41} .

Then