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Relations and Functions (Class 12)

JEE Main 2024 (Online) 27th January Morning ShiftMCQEasy📈 Topic in 48% papers+4−1
Ques. 1JEE 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

Answer

(1) symmetric only

Solution

M is the power set of S, so M.

Reflexive: = ( , ) not reflexive

Symmetric: A B B A symmetric

Transitive: A=\1\, B=\1,2\, C=\2\ give A B , B C but A C= not transitive

R is symmetric only

Answer: (1)

Keep practising — Relations and Functions (Class 12)

Ques. 2JEE 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. 3JEE 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 \

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