Class 12 Mathematics - Relations and Functions - Relations Easy Quiz

Mathematics Relations and Functions Relations Easy Class 12 Level 29

Level 29 • 1/50 questions • 40 seconds per question.

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Question 1/1 Easy Mathematics Relations and Functions Binary operations Class 12 Level 29

समुच्चय \(A=\{1,2,3\}\) पर क्रिया \(\ast\) इस प्रकार है: \(a\ast b=a\)। क्या यह द्विआधारी क्रिया है?

On the set \(A=\{1,2,3\}\), an operation \(\ast\) is defined by \(a\ast b=a\). Is it a binary operation?

Explanation opens after your attempt
Correct Answer

A. हाँ, क्योंकि परिणाम हमेशा (A) में हैYes, because the result is always in (A)

Step 1

Concept

द्विआधारी क्रिया में हर \(a,b\in A\) के लिए परिणाम फिर से (A) में होना चाहिए। / For a binary operation, every result for \(a,b\in A\) must lie in (A).

Step 2

Why this answer is correct

यहां \(a\ast b=a\), और (a) हमेशा (A) का अवयव है। / Here \(a\ast b=a\), and (a) always belongs to (A).

Step 3

Exam Tip

परीक्षा में परिणाम की बंदता पहले जांचें। / In exams, first check closure of the result.

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