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codomain-vs-range MCQ Questions for Class 11

codomain-vs-range se related questions ko ek jagah revise karein. Har question me bilingual content, answer feedback aur explanation available hai.

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3 questions tagged with codomain-vs-range.

Question 1/3 Medium Mathematics Relations and Functions Functions as a special kind of relation Class 11 Level 30

यदि \(A=\{1,2,3\}\), \(B=\{2,4,6,8\}\) और (f(x)=2x) हो, तो (8) के बारे में क्या सही है?

If \(A=\{1,2,3\}\), \(B=\{2,4,6,8\}\), and (f(x)=2x), what is true about (8)?

Explanation opens after your attempt
Correct Answer

A. (8) सहप्रांत में है पर परिसर में नहीं(8) is in the codomain but not in the range

Step 1

Concept

The images are (2,4,6), so (8) is not obtained. In exams, keep the difference between codomain and range clear.

Step 2

Why this answer is correct

The correct answer is A. (8) सहप्रांत में है पर परिसर में नहीं / (8) is in the codomain but not in the range. The images are (2,4,6), so (8) is not obtained. In exams, keep the difference between codomain and range clear.

Step 3

Exam Tip

छवियां (2,4,6) हैं इसलिए (8) प्राप्त नहीं होता। परीक्षा में सहप्रांत और परिसर का अंतर स्पष्ट रखें।

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Question 2/3 Medium Mathematics Relations and Functions Functions as a special kind of relation Class 11 Level 29

यदि \(A=\{1,2,3\}\), \(B=\{3,6,9,12\}\) और (f(x)=3x) हो, तो (12) के बारे में क्या सही है?

If \(A=\{1,2,3\}\), \(B=\{3,6,9,12\}\), and (f(x)=3x), what is true about (12)?

Explanation opens after your attempt
Correct Answer

A. (12) सहप्रांत में है पर परिसर में नहीं(12) is in the codomain but not in the range

Step 1

Concept

(f(1),f(2),f(3)) give (3,6,9), not (12). In exams, do not put an unattained codomain element in the range.

Step 2

Why this answer is correct

The correct answer is A. (12) सहप्रांत में है पर परिसर में नहीं / (12) is in the codomain but not in the range. (f(1),f(2),f(3)) give (3,6,9), not (12). In exams, do not put an unattained codomain element in the range.

Step 3

Exam Tip

(f(1),f(2),f(3)) से (3,6,9) मिलते हैं, (12) नहीं। परीक्षा में अप्राप्त सहप्रांत तत्व को परिसर में न रखें।

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Question 3/3 Medium Mathematics Relations and Functions Functions as a special kind of relation Class 11 Level 29

यदि \(A=\{2,3,4\}\), \(B=\{4,9,16,25\}\) और (f(x)=x-2) हो, तो सहप्रांत का कौन-सा तत्व परिसर में नहीं आएगा?

If \(A=\{2,3,4\}\), \(B=\{4,9,16,25\}\), and (f(x)=x-2), which element of the codomain will not be in the range?

Explanation opens after your attempt
Correct Answer

D. (25)

Step 1

Concept

The range is ({4,9,16}), so (25) is not obtained. In exams, every codomain element need not be in the range.

Step 2

Why this answer is correct

The correct answer is D. (25). The range is ({4,9,16}), so (25) is not obtained. In exams, every codomain element need not be in the range.

Step 3

Exam Tip

परिसर ({4,9,16}) है, इसलिए (25) प्राप्त नहीं होता। परीक्षा में सहप्रांत का हर तत्व जरूरी नहीं कि परिसर हो।

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