Class 12 Mathematics - Relations and Functions - Relations Medium Quiz

Mathematics Relations and Functions Relations Medium Class 12 Level 24

Level 24 • 1/50 questions • 35 seconds per question.

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Question 1/1 Medium Mathematics Relations and Functions One-one function Class 12 Level 24

यदि \(f:\mathbb{R}\to\mathbb{R}\) और (f(x)=3x-7) है, तो (f) के बारे में सही कथन चुनिए।

If \(f:\mathbb{R}\to\mathbb{R}\) and (f(x)=3x-7), choose the correct statement about (f).

Explanation opens after your attempt
Correct Answer

A. एकैकी हैOne-one

Step 1

Concept

To test one-one, assume (f(a)=f(b)).

Step 2

Why this answer is correct

Then (3a-7=3b-7), so (a=b).

Step 3

Exam Tip

In exams, a linear function (mx+c) with \(m\neq 0\) is one-one. चरण 1: एकैकी जांचने के लिए मान लेते हैं कि (f(a)=f(b))। चरण 2: तब (3a-7=3b-7), इसलिए (a=b) मिलता है। चरण 3: परीक्षा में रैखिक फलन (mx+c) में \(m\neq 0\) हो तो वह एकैकी होता है।

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