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यदि \(R=\{(1,2),(2,4),(3,6)\}\) हो तो (R) का प्रांत क्या है?
If \(R=\{(1,2),(2,4),(3,6)\}\), what is the domain of (R)?
#relations
#domain
#ordered-pairs
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A \({1,2,3}\)
B \({2,4,6}\)
C \({1,2,3,4,6}\)
D \(\varnothing\)
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Correct Answer
A. \({1,2,3}\)
Step 1
Concept
The domain is the set of first components of ordered pairs. Hence the domain is ({1,2,3}).
Step 2
Why this answer is correct
The correct answer is A. \({1,2,3}\). The domain is the set of first components of ordered pairs. Hence the domain is ({1,2,3}).
Step 3
Exam Tip
प्रांत क्रमित युग्मों के पहले अवयवों का समुच्चय होता है। इसलिए प्रांत ({1,2,3}) है।
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यदि \(R=\{(2,1),(2,3),(4,3),(5,7)\}\) हो तो (R) का परिसर क्या है?
If \(R=\{(2,1),(2,3),(4,3),(5,7)\}\), what is the range of (R)?
#relations
#range
#ordered-pairs
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A \({2,4,5}\)
B \({1,3,7}\)
C \({1,2,3,4,5,7}\)
D \({3}\)
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Correct Answer
B. \({1,3,7}\)
Step 1
Concept
The range is the set of second components, and repetitions are not written. Therefore the range is ({1,3,7}).
Step 2
Why this answer is correct
The correct answer is B. \({1,3,7}\). The range is the set of second components, and repetitions are not written. Therefore the range is ({1,3,7}).
Step 3
Exam Tip
परिसर दूसरे अवयवों का समुच्चय होता है और पुनरावृत्ति नहीं लिखी जाती। इसलिए परिसर ({1,3,7}) है।
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यदि \(A=\{1,2,3\}\) और \(B=\{2,4,6\}\) हों तथा \(R=\{(a,b):b=2a\}\) हो तो (R) का परिसर क्या है?
If \(A=\{1,2,3\}\), \(B=\{2,4,6\}\), and \(R=\{(a,b):b=2a\}\), what is the range of (R)?
#relations
#range
#rule-based
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A \({1,2,3}\)
B \({2,4,6}\)
C \({2,4}\)
D \({6}\)
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Correct Answer
B. \({2,4,6}\)
Step 1
Concept
Putting (a=1,2,3) gives (b=2,4,6). Hence the range is ({2,4,6}).
Step 2
Why this answer is correct
The correct answer is B. \({2,4,6}\). Putting (a=1,2,3) gives (b=2,4,6). Hence the range is ({2,4,6}).
Step 3
Exam Tip
(a=1,2,3) रखने पर (b=2,4,6) मिलते हैं। इसलिए परिसर ({2,4,6}) है।
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यदि \(R=\{(1,2),(1,3),(2,3)\}\) हो तो (R) का प्रांत और परिसर क्रमशः क्या हैं?
If \(R=\{(1,2),(1,3),(2,3)\}\), what are the domain and range respectively?
#relations
#domain
#range
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A \({1,2}) और ({2,3}) / ({1,2}) and ({2,3})
B \({2,3}) और ({1,2}) / ({2,3}) and ({1,2})
C \({1,2,3}) और ({1,2,3}) / ({1,2,3}) and ({1,2,3})
D \({1}) और ({3}) / ({1}) and ({3})
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Correct Answer
A. \({1,2}) और ({2,3}) / ({1,2}) and ({2,3})
Step 1
Concept
The first components give the domain ({1,2}), and the second components give the range ({2,3}). Write sets after removing repetitions.
Step 2
Why this answer is correct
The correct answer is A. \({1,2}) और ({2,3}) / ({1,2}) and ({2,3}). The first components give the domain ({1,2}), and the second components give the range ({2,3}). Write sets after removing repetitions.
Step 3
Exam Tip
पहले अवयवों से प्रांत ({1,2}) और दूसरे अवयवों से परिसर ({2,3}) है। दोहराव हटाकर समुच्चय लिखें।
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