1. relation and function - Gujarat Board (GSEB) STD 12 Science Maths Questions - Vidyadip

Question types

1. relation and function question types

535 questions across 1 question group — pick any mix to generate a Maths paper with step-by-step answer keys.

535

Questions

1

Question groups

5

Question types

M.C.Q (1 Marks)

Sample Questions

1. relation and function questions

One sample from each question group in this chapter. Select any group above to see the full set with answer keys.

Q 1M.C.Q (1 Marks)1 Mark

The relation $R= \{(1, 1), (2, 2), (3, 3), (1, 2), (2, 3), (1, 3)\}$ on set $A = \{1, 2, 3\}$ is

✓
Reflexive but not symmetric
B
Reflexive but not transitive
C
Symmetric and Transitive
D
Neither symmetric nor transitive

Answer: A.

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Q 2M.C.Q (1 Marks)1 Mark

Let $X$ be a family of sets and $R$ be a relation on $X$ defined by $‘A$ is disjoint from $B’$. Then $R$ is

A
Reflexive
✓
Symmetric
C
Anti-symmetric
D
Transitive

Answer: B.

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Q 3M.C.Q (1 Marks)1 Mark

The void relation on a set $A$ is

A
Reflexive
✓
Symmetric and transitive
C
Reflexive and symmetric
D
Reflexive and transitive

Answer: B.

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Q 4M.C.Q (1 Marks)1 Mark

Let ${R_1}$ be a relation defined by ${R_1} = \{ (a,\,b)|a \ge b,\,a,\,b \in R\} $. Then ${R_1}$ is

A
An equivalence relation on $R$
✓
Reflexive, transitive but not symmetric
C
Symmetric, Transitive but not reflexive
D
Neither transitive not reflexive but symmetric

Answer: B.

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Q 5M.C.Q (1 Marks)1 Mark

Which one of the following relations on $R$ is an equivalence relation

✓
$a\,{R_1}\,b \Leftrightarrow |a| = |b|$
B
$a{R_2}b \Leftrightarrow a \ge b$
C
$a{R_3}b \Leftrightarrow a \ {\rm{ divides }}\ b$
D
$a{R_4}b \Leftrightarrow a < b$

Answer: A.

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