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identify-function MCQ Questions for Class 12

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3 questions tagged with identify-function.

Question 1/3 Medium Mathematics Relations and Functions One-one function Class 12 Level 23

निम्न में से कौन-सा फलन \(\mathbb{R}\) से \(\mathbb{R}\) पर एकैकी है?

Which of the following functions from \(\mathbb{R}\) to \(\mathbb{R}\) is one-one?

Explanation opens after your attempt
Correct Answer

C. (f(x)=4x-1)

Step 1

Concept

In \(x^2\) and (|x|), (x) and (-x) can give the same image.

Step 2

Why this answer is correct

(f(x)=6) is constant.

Step 3

Exam Tip

(4x-1) has non-zero slope, so it is one-one. चरण 1: \(x^2\) और (|x|) में (x) तथा (-x) समान छवि दे सकते हैं। चरण 2: (f(x)=6) स्थिर फलन है। चरण 3: (4x-1) में ढाल शून्य नहीं है इसलिए यह एकैकी है।

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Question 2/3 Easy Mathematics Relations and Functions One-one function Class 12 Level 24

कौन सा फलन वास्तविक संख्याओं पर एकैकी नहीं है?

Which function is not one-one on real numbers?

Explanation opens after your attempt
Correct Answer

A. (f(x)=x-2+2)

Step 1

Concept

In \(x^2+2\), (x) and (-x) can give the same value.

Step 2

Why this answer is correct

(f(1)=3) and (f(-1)=3), while \(1\neq-1\).

Step 3

Exam Tip

In options, check square-based functions carefully. चरण 1: \(x^2+2\) में (x) और (-x) समान मान दे सकते हैं। चरण 2: (f(1)=3) और (f(-1)=3) जबकि \(1\neq-1\)। चरण 3: विकल्पों में वर्ग वाले फलन को खास ध्यान से जाँचें।

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Question 3/3 Easy Mathematics Relations and Functions One-one function Class 12 Level 22

कौन सा फलन वास्तविक संख्याओं पर एकैकी है?

Which function is one-one on real numbers?

Explanation opens after your attempt
Correct Answer

A. (f(x)=x+1)

Step 1

Concept

(f(x)=x+1) is linear and the coefficient of (x) is \(1\neq0\).

Step 2

Why this answer is correct

The other options can give equal outputs for different inputs or are constant.

Step 3

Exam Tip

In easy questions, identify linear and constant functions first. चरण 1: (f(x)=x+1) रैखिक है और (x) का गुणांक \(1\neq0\) है। चरण 2: बाकी विकल्पों में अलग आगत समान मान दे सकते हैं या फलन स्थिर है। चरण 3: आसान प्रश्नों में पहले रैखिक और स्थिर फलनों को पहचानें।

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