Mathematics – Class 12 – Topicwise Previous Years Questions with Solutions – For 2025 Board Examination

,
,
, KST STUDY POINT, KK NAGAR, CHENNAI


CH-1
Relations And Functions
Previous Year Questions (Topic-wise)


1. RELATIONS AND ITS TYPES


Objective Qs (1 mark)
1. Let R be a relation in the set N given by 𝑅 = {(𝑎, 𝑏): 𝑎 = 𝑏 − 2, 𝑏 > 6}, then:
(a) (2,4) ∈ 𝑅
(b) (3,8) ∈ 𝑅
(c) (6,8) ∈ 𝑅
(d) (8,7) ∈ 𝑅
[CBSE Term-1 SQP 2021]

2. 𝐴 = {1,2,3,4}. A relation 𝑅 in the set 𝐴 is given by 𝑅 = {(1,1), (2,3), (3,2), (4,3), (3,4)}, then relation
𝑅 is:
(a) reflexive
(b) symmetric
P
TS




(c) transitive
KS




(d) equivalence
[Delhi Gov. Term-1 SQP 2021]

3. Let set 𝑋 = {1,2,3} and a relation 𝑅 is defined in 𝑋 as 𝑅 = {(1,3), (2,2), (3,2)}, then minimum ordered
pairs which should be added in relation R to make it reflexive and symmetric are:
(a) {(1,1), (2,3), (1,4)}

(b) {(5,3), (3,1), (1,2)}

(c) {(1,1), (3,3), (3,1), (2,3)}

(d) {(1,1), (3,3), (3,1), (1,2)}

[CBSE Term-1 2021]

4. If 𝑅 = {(𝑥, 𝑦): 𝑥, 𝑦 ∈ 𝑍, 𝑥 2 + 𝑦 2 ≤ 4} is a relation in set 𝑍. Then domain of 𝑅 is:
(a) {0,1,2}
(b) {−2, −1,0,1,2}
(c) [0, −1, −2]
(d) {−1,0,1}
[CBSE Term-1 2021]

5. A relation 𝑅 is defined on 𝑁. Which of the following is the reflexive relation?