Home Maths Set Theory and Relations Skill Builder For real numbers and , we write is an irr…
Maths Set Theory and Relations Skill Builder Single Correct MCQ
Published on: August 11, 2026

For real numbers and , we write is an irrational number. Then, the relation is

A
reflexive
B
symmetric
C
transitive
D
None of these

Share this question

WhatsApp

For Instagram sharing, use “Apps” on mobile or copy the link.

Text Solution

Verified by Experts
The correct answer is:
A

is an irrational number.

Let .

Then, which is an irrational number.

is an reflexive relation.

is an irrational number.

is an irrational number.

is an irrational number.

is an irrational number.

So,

is not a symmetric relation.

Let , then is an irrational number.

is an irrational number.

and , then is an irrational number.

is an irrational number.

is an irrational number.

is an irrational number.

So, and (by any way)

is not transitive relation.

──────────────────────────────────────────────────────────────────────────────────────────

Previous Question Next Question

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.

Student Reviews

What students say about this solution

No reviews yet. Be the first to write a review.

Similar Questions

Explore conceptually related problems

Out of 100 students; 15 passed in English, 12 passed in Mathematics, 8 in Science, 6 in English and…
State T for true and F for false. In a class of 140 students, 60 play football, 74 play hockey and …
Let , then (I) (II) (III) (IV) Find .
The roster form of sets is an integer, and is a month of year not having 31 days are respecti…
Two finite sets have and elements. The total number of subsets of the first set is 56 more than t…
If a and , where are relatively prime, then
CG
CGP Question Assistant Question Bank + AI Help
Hi! Type your question or upload one screenshot. First I will search related questions from CGP Edu Question Bank. If none match, type YES and I will solve it with AI.
Upload only one screenshot at a time. Flow: Question Bank first → If not matched, type YES for AI solution.