STD 12 - 1. relation and function - CBSE STD 12 Science Mathematics Questions - Vidyadip

Question types

STD 12 - 1. relation and function question types

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

535

Questions

1

Question groups

5

Question types

M.C.Q (1 Marks)

Sample Questions

STD 12 - 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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