Class 12 Mathematics - Relations and Functions - Functions Expert Quiz

Mathematics Relations and Functions Functions Expert Class 12 Level 16

Level 16 • 1/50 questions • 25 seconds per question.

Level readiness 1/50 Questions
Time Left 00:25 25 sec/question
RewardsCoins + XP
ModeClassic Quiz
Previous Next Level
Share
This level needs 49 more active questions. Admin panel me same class, subject, difficulty aur level_no 16 par question add karein.
Question 1 / 1 0 score
Answered 0/1 Correct 0 Time 00:25
Question 1/1 Expert Mathematics Relations and Functions Equivalence relation Class 12 Level 16

समुच्चय \(A=\{1,2,3\}\) से (A) में सभी फलनों के समुच्चय पर (fRg) तब और केवल तब जब (f(1)=g(1))। इस सम्बन्ध के बारे में सही कथन चुनिए।

On the set of all functions from \(A=\{1,2,3\}\) to (A), (fRg) if and only if (f(1)=g(1)). Choose the correct statement about this relation.

Explanation opens after your attempt
Correct Answer

A. यह तुल्यता सम्बन्ध हैIt is an equivalence relation

Step 1

Concept

For every function, (f(1)=f(1)), so the relation is reflexive.

Step 2

Why this answer is correct

If (f(1)=g(1)), then (g(1)=f(1)) is also true.

Step 3

Exam Tip

If (f(1)=g(1)) and (g(1)=h(1)), then (f(1)=h(1)), so it is an equivalence relation. चरण 1: हर फलन के लिए (f(1)=f(1)), इसलिए सम्बन्ध स्वतुल्य है। चरण 2: यदि (f(1)=g(1)), तो (g(1)=f(1)) भी सही है। चरण 3: यदि (f(1)=g(1)) और (g(1)=h(1)), तो (f(1)=h(1)), इसलिए सम्बन्ध तुल्यता है।

Open Question Page
Ask Friends

Mathematics Quiz Navigation

Mathematics Subject

All difficulty level maps

Functions Topic

Topic question list

Relations and Functions Chapter

Chapter question list

Search Mathematics

Find related MCQs

All Subjects

Choose another subject
FAQs

Class 12 Mathematics Quiz FAQs

How many questions are in this quiz?

This level is designed for 50 active questions. Currently 1 questions are available for the selected class and difficulty.

Is there a timer in this quiz?

Yes, the timer uses 25 seconds per question for Expert difficulty and shows the total remaining time on the page.

Can I open each question separately?

Yes, every question has its own SEO-friendly page with answer, explanation and related practice links.