Concept-wise Practice

codomain-check MCQ Questions for Class 11

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

Practice Questions

3 questions tagged with codomain-check.

यदि \(f:{1,2,3}\to{1,2,3}\) को (f(x)=x+1) से परिभाषित किया जाए, तो यह (A) से (B) में फलन क्यों नहीं है?

If \(f:{1,2,3}\to{1,2,3}\) is defined by (f(x)=x+1), why is it not a function from (A) to (B)?

Explanation opens after your attempt
Correct Answer

A. क्योंकि (f(3)=4) और \(4\notin{1,2,3}\)Because (f(3)=4) and \(4\notin{1,2,3}\)

Step 1

Concept

The image of (3) is (4), which is not in the codomain. In exams, check whether every output lies in the codomain.

Step 2

Why this answer is correct

The correct answer is A. क्योंकि (f(3)=4) और \(4\notin{1,2,3}\) / Because (f(3)=4) and \(4\notin{1,2,3}\). The image of (3) is (4), which is not in the codomain. In exams, check whether every output lies in the codomain.

Step 3

Exam Tip

(3) की छवि (4) आती है जो सहप्रांत में नहीं है। परीक्षा में हर आउटपुट सहप्रांत में है या नहीं जांचें।

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यदि \(f:{1,2,3,4}\to{0,1,2}\) को (f(x)=x-2) से परिभाषित किया जाए, तो यह फलन क्यों नहीं है?

If \(f:{1,2,3,4}\to{0,1,2}\) is defined by (f(x)=x-2), why is it not a function?

Explanation opens after your attempt
Correct Answer

A. क्योंकि (f(1)=-1) है और \(-1\notin{0,1,2}\)Because (f(1)=-1) and \(-1\notin{0,1,2}\)

Step 1

Concept

(f(1)=-1) is not in codomain (B), so it is not a function from (A) to (B). In exams, every output must lie in the codomain.

Step 2

Why this answer is correct

The correct answer is A. क्योंकि (f(1)=-1) है और \(-1\notin{0,1,2}\) / Because (f(1)=-1) and \(-1\notin{0,1,2}\). (f(1)=-1) is not in codomain (B), so it is not a function from (A) to (B). In exams, every output must lie in the codomain.

Step 3

Exam Tip

(f(1)=-1) सहप्रांत (B) में नहीं है, इसलिए यह (A) से (B) में फलन नहीं होगा। परीक्षा में आउटपुट सहप्रांत में होना चाहिए।

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यदि \(A=\{1,2,3,4\}\) और \(B=\{1,4,9,16\}\) हों, तथा (f(x)=x-2) हो, तो (f) के बारे में कौन-सा कथन सही है?

If \(A=\{1,2,3,4\}\) and \(B=\{1,4,9,16\}\), and (f(x)=x-2), which statement about (f) is correct?

Explanation opens after your attempt
Correct Answer

A. यह (A) से (B) में फलन हैIt is a function from (A) to (B)

Step 1

Concept

For every \(x\in A\), \(x^2\in B\) and the image is exactly one. In exams, check whether the rule's images lie in the codomain.

Step 2

Why this answer is correct

The correct answer is A. यह (A) से (B) में फलन है / It is a function from (A) to (B). For every \(x\in A\), \(x^2\in B\) and the image is exactly one. In exams, check whether the rule's images lie in the codomain.

Step 3

Exam Tip

प्रत्येक \(x\in A\) के लिए \(x^2\in B\) और छवि ठीक एक है। परीक्षा में नियम की छवियां सहप्रांत में हैं या नहीं, यह देखें।

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