यदि \(U=\{a,b,c,d,e,f\}\), \(A=\{a,b,c\}\) और \(D=\{d,e,f\}\), तो \(A\cap D\) और \(A\cup D\) के आधार पर कौन सा निष्कर्ष सही है?
If \(U=\{a,b,c,d,e,f\}\), \(A=\{a,b,c\}\), and \(D=\{d,e,f\}\), which conclusion is correct using \(A\cap D\) and \(A\cup D\)?
Explanation opens after your attempt
Correct Answer
A. \(D=A^{c}\)
Concept
\(A\cap D=\varnothing\) and \(A\cup D=U\), so \(D=A^{c}\). These two conditions are useful to prove a complement.
Why this answer is correct
The correct answer is A. \(D=A^{c}\). \(A\cap D=\varnothing\) and \(A\cup D=U\), so \(D=A^{c}\). These two conditions are useful to prove a complement.
Exam Tip
\(A\cap D=\varnothing\) और \(A\cup D=U\), इसलिए \(D=A^{c}\)। पूरक साबित करने के लिए ये दो शर्तें उपयोगी हैं।
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