Published by:
CGP EDU Academic Team
Published on: August 13, 2026
Let
. Let R be a relation on A defined by
if and only if
is a multiple of 3.
Given below are two statements:
Statement I:
Statement II:
is an equivalence relation.
In the light of the above statements, choose the correct answer from the options given below
Text Solution
Verified by ExpertsThe correct answer is:
B
Number of form
Number of form
Number of form
relations
R is reflexive, symmetric and transitive
is ture
is false but
is ture
──────────────────────────────────────────────────────────────────────────────────────────
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems
The internal energy of a monoatomic gas is 3 nRT . One mole of helium is kept in a cylinder having …
A body of mass 14 kg initially at rest explodes and breaks into three fragments of masses in the ra…
A block is sliding down on an inclined plane of slope and at an instant this block is given an up…
The current passing through a conducting loop in the form of equilateral triangle of side is 2A. T…
A paratrooper jumps from an aeroplane and opens a parachute after 2 s of free fall and starts deacc…
Two shorts dipoles having charges and length 1 cm and having charges and length 1 cm are placed…