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domain-cardinality MCQ Questions for Class 11

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3 questions tagged with domain-cardinality.

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

यदि \(A=\{1,2,3\}\) और \(B=\{a,b,c,d\}\) हों, तो (A) से (B) में फलन होने पर क्रमित युग्मों की संख्या कितनी होगी?

If \(A=\{1,2,3\}\) and \(B=\{a,b,c,d\}\), how many ordered pairs will a function from (A) to (B) have?

Explanation opens after your attempt
Correct Answer

A. (3)

Step 1

Concept

A function has exactly one pair for every domain element, so the number of pairs will be (3). In exams, pairs in a function equal the number of domain elements.

Step 2

Why this answer is correct

The correct answer is A. (3). A function has exactly one pair for every domain element, so the number of pairs will be (3). In exams, pairs in a function equal the number of domain elements.

Step 3

Exam Tip

फलन में प्रांत के हर तत्व के लिए ठीक एक युग्म होता है इसलिए युग्मों की संख्या (3) होगी। परीक्षा में फलन के युग्म प्रांत के तत्वों के बराबर होते हैं।

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

यदि \(A=\{1,2,3\}\) और \(B=\{4,5,6,7\}\) हों, तो (A) से (B) में फलन होने पर क्रमित युग्मों की संख्या कितनी होगी?

If \(A=\{1,2,3\}\) and \(B=\{4,5,6,7\}\), how many ordered pairs will a function from (A) to (B) have?

Explanation opens after your attempt
Correct Answer

A. (3)

Step 1

Concept

A function assigns exactly one image to every element of domain (A), so it will have (3) pairs. In exams, pairs in a function equal the number of domain elements.

Step 2

Why this answer is correct

The correct answer is A. (3). A function assigns exactly one image to every element of domain (A), so it will have (3) pairs. In exams, pairs in a function equal the number of domain elements.

Step 3

Exam Tip

फलन में प्रांत (A) के हर तत्व की ठीक एक छवि होती है, इसलिए युग्मों की संख्या (3) होगी। परीक्षा में फलन के युग्म प्रांत के तत्वों के बराबर होते हैं।

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Question 3/3 Medium Mathematics Relations and Functions Functions as a special kind of relation Class 11 Level 28

यदि \(A=\{1,2,3,4\}\) और \(B=\{a,b,c\}\) हों, तो (A) से (B) में फलन होने के लिए किसी संबंध में कम से कम कितने क्रमित युग्म होने चाहिए?

If \(A=\{1,2,3,4\}\) and \(B=\{a,b,c\}\), how many ordered pairs must a relation have at minimum to be a function from (A) to (B)?

Explanation opens after your attempt
Correct Answer

B. (4)

Step 1

Concept

A function must assign exactly one image to each of the (4) elements of (A), so (4) pairs are needed. In exams, the number of pairs in a function equals the number of domain elements.

Step 2

Why this answer is correct

The correct answer is B. (4). A function must assign exactly one image to each of the (4) elements of (A), so (4) pairs are needed. In exams, the number of pairs in a function equals the number of domain elements.

Step 3

Exam Tip

फलन में (A) के हर (4) तत्व की ठीक एक छवि होनी चाहिए, इसलिए (4) युग्म चाहिए। परीक्षा में फलन के युग्मों की संख्या प्रांत के तत्वों के बराबर होती है।

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