Home
Class 12
MATHS
Show that the relation R is in the set A...

Show that the relation R is in the set `A={1,2,3,4,5}` given by R={(a, b): |a-b| is divisible by 2}, is an equivalence relation. Write all the equivalence classes of R.

Text Solution

Verified by Experts

The correct Answer is:
{1, 3, 5} and {2, 4}
Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    ARIHANT PRAKASHAN|Exercise TOPIC-02 PRACTICE QUESTION (Exam., Textbook.s Other Imp. Questions) (1 MARK Questions) |9 Videos
  • RELATIONS AND FUNCTIONS

    ARIHANT PRAKASHAN|Exercise TOPIC-02 PRACTICE QUESTION (Exam., Textbook.s Other Imp. Questions) (4 MARKS Questions) |5 Videos
  • RELATIONS AND FUNCTIONS

    ARIHANT PRAKASHAN|Exercise TOPIC-01 PRACTICE QUESTION (Exam., Textbook.s Other Imp. Questions) (6 MARKS Questions) |5 Videos
  • PROBABILITY

    ARIHANT PRAKASHAN|Exercise Chapter test (6 mark question)|8 Videos
  • SIMILAR TEST 3

    ARIHANT PRAKASHAN|Exercise SECTION C|14 Videos