यदि \(A=\{3,6,9\}\) है तो ({3,9}) के लिए सही कथन कौन सा है?
If \(A=\{3,6,9\}\), which statement is correct for ({3,9})?
#sets
#power_set
#element_relation
A \({3,9}\in A\)
B \({3,9}\in \mathcal{P}(A)\)
C ({3,9}=A)
D \({3,9}\not\subseteq A\)
Explanation opens after your attempt
Correct Answer
B. \({3,9}\in \mathcal{P}(A)\)
Step 1
Concept
({3,9}) is a subset of (A). So it is an element of (\mathcal{P}(A)).
Step 2
Why this answer is correct
The correct answer is B. \({3,9}\in \mathcal{P}(A)\). ({3,9}) is a subset of (A). So it is an element of (\mathcal{P}(A)).
Step 3
Exam Tip
({3,9}) (A) का उपसमुच्चय है। इसलिए यह (\mathcal{P}(A)) का तत्व है।
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यदि \(A=\{1,4,9\}\) है तो ({1,9}) के लिए सही कथन कौन सा है?
If \(A=\{1,4,9\}\), which statement is correct for ({1,9})?
#sets
#power_set
#element_relation
A \({1,9}\in A\)
B \({1,9}\in \mathcal{P}(A)\)
C ({1,9}=U)
D \({1,9}\not\subseteq A\)
Explanation opens after your attempt
Correct Answer
B. \({1,9}\in \mathcal{P}(A)\)
Step 1
Concept
({1,9}) is a subset of (A). Therefore it is an element of (\mathcal{P}(A)).
Step 2
Why this answer is correct
The correct answer is B. \({1,9}\in \mathcal{P}(A)\). ({1,9}) is a subset of (A). Therefore it is an element of (\mathcal{P}(A)).
Step 3
Exam Tip
({1,9}) (A) का उपसमुच्चय है। इसलिए यह (\mathcal{P}(A)) का तत्व है।
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यदि \(A=\{p,q,r\}\) है तो ({p,q}) का संबंध (\mathcal{P}(A)) से क्या है?
If \(A=\{p,q,r\}\) then what is the relation of ({p,q}) with (\mathcal{P}(A))?
#sets
#power_set
#element_relation
A \({p,q}\in \mathcal{P}(A)\)
B \({p,q}\notin \mathcal{P}(A)\)
C ({p,q}=A)
D ({p,q}=U)
Explanation opens after your attempt
Correct Answer
A. \({p,q}\in \mathcal{P}(A)\)
Step 1
Concept
({p,q}) is a subset of (A). Therefore it is an element of (\mathcal{P}(A)).
Step 2
Why this answer is correct
The correct answer is A. \({p,q}\in \mathcal{P}(A)\). ({p,q}) is a subset of (A). Therefore it is an element of (\mathcal{P}(A)).
Step 3
Exam Tip
({p,q}) (A) का उपसमुच्चय है। इसलिए यह (\mathcal{P}(A)) का तत्व है।
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यदि \(A=\{1,2,3\}\) है तो इनमें से कौन सा कथन निश्चित रूप से सत्य है?
If \(A=\{1,2,3\}\) then which statement is certainly true?
#sets
#subset
#element relation
A \({1,2}\in A\)
B \({1,2}\subset A\)
C \(4\in A\)
D \(A\in A\)
Explanation opens after your attempt
Correct Answer
B. \({1,2}\subset A\)
Step 1
Concept
All elements of ({1,2}) are in (A), so it is a subset. In exams check subset and element statements separately.
Step 2
Why this answer is correct
The correct answer is B. \({1,2}\subset A\). All elements of ({1,2}) are in (A), so it is a subset. In exams check subset and element statements separately.
Step 3
Exam Tip
({1,2}) के सभी तत्व (A) में हैं इसलिए यह उपसमुच्चय है। परीक्षा में उपसमुच्चय और तत्व की जांच अलग करें।
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