NDA Chapter Wise PYQ Series : Relations and Functions

NDA अध्यायवार PYQ श्रृंखला : संबंध और फलन

NDA অধ্যায়ভিত্তিক PYQ সিরিজ : সম্পর্ক ও ফাংশন

NDA అధ్యాయాల వారీ PYQ సిరీస్ : సంబంధాలు మరియు ఫంక్షన్లు

NDA प्रकरणनिहाय PYQ मालिका : संबंध आणि फलने

NDA அத்தியாய வாரியான PYQ தொடர் : தொடர்புகள் மற்றும் செயல்பாடுகள்

NDA અધ્યાયવાર PYQ શ્રેણી : સંબંધો અને ફંક્શન્સ

NDA ಅಧ್ಯಾಯವಾರು PYQ ಸರಣಿ : ಸಂಬಂಧಗಳು ಮತ್ತು ಕಾರ್ಯಗಳು

NDA അധ്യായ അടിസ്ഥാനത്തിലുള്ള PYQ പരമ്പര : ബന്ധങ്ങളും ഫങ്ഷനുകളും

NDA ਅਧਿਆਇ ਅਨੁਸਾਰ PYQ ਸੀਰੀਜ਼ : ਸੰਬੰਧ ਅਤੇ ਫੰਕਸ਼ਨ

NDA ଅଧ୍ୟାୟ ଭିତ୍ତିକ PYQ ଶୃଙ୍ଖଳା : ସମ୍ପର୍କ ଏବଂ ଫଙ୍କସନ୍

NDA অধ্যায়ভিত্তিক PYQ শৃংখলা : সম্পৰ্ক আৰু ফাংচন

NDA باب وار PYQ سیریز : تعلقات اور فنکشنز

NDA अध्यायवार PYQ श्रृंखला : सम्बन्धाः तथा फलनानि

NDA Chapter Wise PYQ Series : Relations aur Functions

NDA Chapter Wise PYQ Series : Relations and Functions

NDA Chapter Wise PYQ Series | Relations and Functions | संबंध और फलन | NDA Maths PYQ | Previous Year Questions | NDA 2025 Maths
NDA MATHEMATICS RELATIONS & FUNCTIONS PYQs

Q1. [NDA-I 2018]
Let A = {x ∈ R : -1 ≤ x ≤ 1}, B = {y ∈ R : -1 ≤ y ≤ 1} and
S = {(x,y) ∈ A×B : x² + y² = 1}.
Then S represents:

(A) Square
(B) Circle
(C) Parabola
(D) Ellipse
Q2. [NDA-II 2018]
If A = {1,2,3} and B = {a,b}, then the number of functions from A to B is:

(A) 6
(B) 8
(C) 9
(D) 12

Q3. [NDA-I 2019]
Let R = {(1,1),(2,2),(3,3),(4,4),(1,2),(2,1),(2,3),(3,2)} be a relation on A = {1,2,3,4}. Then R is:
(A) Reflexive only
(B) Reflexive and Symmetric only
(C) Reflexive and Transitive only
(D) Equivalence Relation
Q4. [NDA-I 2019]
A relation R on natural numbers is defined by xRy ⇔ x² − 4xy + 3y² = 0 Then R is:
(A) Reflexive only
(B) Symmetric only
(C) Transitive only
(D) Equivalence Relation

Q5. [NDA-II 2019]
If A = {1,2,3} and B = {a,b,c,d}, then the number of relations from A to B is:
(A) 2⁷
(B) 2¹²
(C) 3⁴
(D) 4³

Q6. [NDA-I 2020]
Let f(x) = x + 1. Then f : R → R is:
(A) One-One and Onto
(B) Onto only
(C) One-One only
(D) Neither One-One nor Onto

Q7. [NDA-I 2020]
If a set A contains 4 elements, then the total number of relations on A is:
(A) 2⁸
(B) 2¹²
(C) 2¹⁶
(D) 4¹⁶

Q8. [NDA-II 2020]
If f(x) = x² + 2x, then f(3) equals:
(A) 9
(B) 12
(C) 15
(D) 18

Q9. [NDA-I 2021]
Let R be defined on integers by
aRb ⇔ (a − b) is divisible by 3.
Then R is:
(A) Reflexive and Symmetric only
(B) Reflexive and Transitive only
(C) Equivalence Relation
(D) Symmetric only

Q10. [NDA-I 2021]
If f(x + 1) = x² − 3x + 2,
then f(x) equals:
(A) x² − 5x + 6
(B) x² − 3x + 2
(C) x² − x
(D) x² − 4x + 4

Q11. [NDA-II 2021]
Consider the following statements:
1. A relation from A to B is a subset of A×B.
2. A relation in A is a subset of A×A.Which of the above statements is/are correct?

(A) 1 only
(B) 2 only
(C) Both 1 and 2
(D) Neither 1 nor 2

Q12. [NDA-I 2022]
If A = {1,2} and B = {3,4,5}, then the number of onto functions from A to B is:
(A) 0
(B) 2
(C) 4
(D) 6

Q13. [NDA-I 2022]
Which one of the following functions is bijective?
(A) f(x) = x²
(B) f(x) = |x|
(C) f(x) = x³
(D) f(x) = sin x

Q14. [NDA-II 2022]
If a set contains 5 elements, then the number of reflexive relations on the set is:

(A) 2¹⁵
(B) 2²⁰
(C) 2²⁵
(D) 5!

Q15. [NDA-I 2023]
The domain of the function
f(x) = (x − 1)/(x + 1)is:
(A) R
(B) R − {-1}
(C) R − {1}
(D) (0,∞)

Q16. [NDA-II 2023]
If A×A contains 16 elements, then the number of elements in A is:
(A) 2
(B) 3
(C) 4
(D) 8

Q17. [NDA-I 2024]
If A = {1,2} and B = {3,4,5}, then n(A×B) is:

(A) 5
(B) 6
(C) 7
(D) 8

Q18. [NDA-I 2024]
The number of onto functions from a 4-element set to a 2-element set is:
(A) 14
(B) 16
(C) 8
(D) 12

Q19. [NDA-I 2025]
If f(x) = 3x + 2 and g(x) = x², then (g∘f)(1) is:
(A) 9
(B) 16
(C) 25
(D) 36

Q20. [NDA-I 2025]
The inverse function of
f(x) = 2x + 3 is:
(A) (x + 3)/2
(B) (x − 3)/2
(C) 2x − 3
(D) 3x + 2

Q21. [NDA-II 2025]
Which one of the following functions is one-one and onto on R?
(A) x²
(B) |x|
(C) x³
(D) sin x

Видео NDA Chapter Wise PYQ Series : Relations and Functions канала Master Mind Maths Academy