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In this Class 11 Applied Mathematics topic from Algebra, students learn how to describe and organize well-defined collections of objects using sets. They explore roster and set-builder forms, types of sets, subsets, universal sets, and the role of empty and equal sets. The topic also develops practical use of Venn diagrams and operations such as union, intersection, difference, and complement, along with basic cardinality and set identities for solving mathematical and real-life problems.
Easy · Level 1 · 1 questions
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P = Q
P ≠ Q
P has more elements
Q has more elements
Question 1EasyLevel 1
If P = {4, 2, 6} and Q = {2, 4, 6}, which statement is correct?यदि P = {4, 2, 6} और Q = {2, 4, 6} हैं, तो सही कथन कौन-सा है?
Correct answer:सही उत्तर:A
Two sets are equal when they contain exactly the same elements, regardless of the order in which those elements are written. Both P and Q contain 2, 4, and 6, so P = Q. Each set has three distinct elements. Therefore neither set has more members, and the different written order does not make the sets unequal. Hence option A is correct.दो समुच्चय तब समान कहलाते हैं जब उनके सभी अवयव समान हों; अवयवों का लिखा हुआ क्रम महत्त्वपूर्ण नहीं होता। P और Q दोनों में 2, 4 तथा 6 ही अवयव हैं, इसलिए P = Q। प्रत्येक समुच्चय में तीन अलग-अलग अवयव हैं। अतः किसी एक समुच्चय में अधिक अवयव नहीं हैं और क्रम का अंतर उन्हें असमान नहीं बनाता। इसलिए विकल्प A सही है।
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