PYQSidePowered byPrepblink ExamsMy practice

Relations and Functions (Class 12)

JEE Main 2024 (Online) 29th January Evening ShiftMCQEasy📈 Topic in 48% papers+4−1
Ques. 1JEE Main 2024, 29 January (Evening Shift)

If R is the smallest equivalence relation on the set \1,2,3,4\ such that \(1,2),(1,3)\ , then the number of elements in R is .

  1. 15
  2. 10
  3. 12
  4. 8

Answer

(2) 10

Solution

Reflexive: (1,1),(2,2),(3,3),(4,4)

Given (1,2),(1,3); symmetric ⇒ (2,1),(3,1)

Transitive: (2,1),(1,3) (2,3); symmetric ⇒ (3,2)

∵ Classes are \1,2,3\ and \4\ ⇒ n( R)=32+12=10

Answer: (2)

Keep practising — Relations and Functions (Class 12)

Ques. 2JEE Main 2024, 27 January (Morning Shift)

Let S=\1,2,3, ,10\. Suppose M is the set of all the subsets of S, then the relation R=\(A, B):A B ; A, B M\ is :

  1. symmetric only
  2. reflexive only
  3. symmetric and reflexive only
  4. symmetric and transitive only
Ques. 3JEE Main 2024, 27 January (Morning Shift)

The function f:N-\1\ ; defined by f(n)= the highest prime factor of n, is :

  1. one-one only
  2. neither one-one nor onto
  3. onto only
  4. both one-one and onto
Ques. 4JEE Main 2024, 27 January (Evening Shift)

Let f:R- \ -12 \ and g:R- \ -52 \ be defined as f(x)= 2x+32x+1 and g(x)= |x|+12x+5. Then, the domain of the function fog is :

  1. R- \- 74 \
  2. R
  3. R- \- 52,- 74 \
  4. R- \- 52 \

All Relations and Functions (Class 12) PYQs →

PDFDownload Relations and Functions (Class 12) PYQs as PDF Free, with answer key and a QR code to every solution — print it or study offline⬇
All JEE Main Mathematics chapters
Class 11SetsRelations and FunctionsTrigonometric FunctionsComplex Numbers and Quadratic EquationsPermutations and CombinationsBinomial TheoremSequences and SeriesStraight LinesConic SectionsIntroduction to Three Dimensional GeometryLimits and DerivativesStatisticsProbability
Class 12Relations and Functions (Class 12)Inverse Trigonometric FunctionsMatricesDeterminantsContinuity and DifferentiabilityApplication of DerivativesIntegralsApplication of IntegralsDifferential EquationsVector AlgebraThree Dimensional GeometryProbability (Class 12)