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de morgan three sets MCQ Questions for Class 11

de morgan three sets se related questions ko ek jagah revise karein. Har question me bilingual content, answer feedback aur explanation available hai.

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2 questions tagged with de morgan three sets.

Question 1/2 Hard Mathematics Sets Venn Diagrams Class 11 Level 13

डी मॉर्गन नियम से (\(A\cup B\cup C\)^c) किसके बराबर है?

By De Morgan's law, what is (\(A\cup B\cup C\)^c) equal to?

Explanation opens after your attempt
Correct Answer

B. \(A^c\cap B^c\cap C^c\)

Step 1

Concept

The complement of a union changes into an intersection, so (\(A\cup B\cup C\)^c=A^c\cap B^c\cap C^c). In a Venn diagram, it is the outside of all three circles.

Step 2

Why this answer is correct

The correct answer is B. \(A^c\cap B^c\cap C^c\). The complement of a union changes into an intersection, so (\(A\cup B\cup C\)^c=A^c\cap B^c\cap C^c). In a Venn diagram, it is the outside of all three circles.

Step 3

Exam Tip

संघ का पूरक प्रतिच्छेद में बदलता है, इसलिए (\(A\cup B\cup C\)^c=A^c\cap B^c\cap C^c)। वेन आरेख में यह तीनों वृत्तों के बाहर का भाग है।

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Question 2/2 Hard Mathematics Sets Venn Diagrams Class 11 Level 13

डी मॉर्गन नियम से (\(A\cap B\cap C\)^c) किसके बराबर है?

By De Morgan's law, what is (\(A\cap B\cap C\)^c) equal to?

Explanation opens after your attempt
Correct Answer

A. \(A^c\cup B^c\cup C^c\)

Step 1

Concept

The complement of an intersection changes into a union, so (\(A\cap B\cap C\)^c=A^c\cup B^c\cup C^c). Remember that the operation changes under complement.

Step 2

Why this answer is correct

The correct answer is A. \(A^c\cup B^c\cup C^c\). The complement of an intersection changes into a union, so (\(A\cap B\cap C\)^c=A^c\cup B^c\cup C^c). Remember that the operation changes under complement.

Step 3

Exam Tip

प्रतिच्छेद का पूरक संघ में बदलता है, इसलिए (\(A\cap B\cap C\)^c=A^c\cup B^c\cup C^c)। पूरक लेते समय चिन्ह बदलना याद रखें।

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