रेखाओं (x=3), (y=1), (x+y=8) से बनी असमानताओं \(x\geq 3\), \(y\geq 1\), \(x+y\leq 8\) के हल-क्षेत्र के शीर्ष कौन से हैं?

What are the vertices of the solution region formed by \(x\geq 3\), \(y\geq 1\), \(x+y\leq 8\)?

Explanation opens after your attempt
Correct Answer

A. ((3,1)), ((7,1)), ((3,5))

Step 1

Concept

Take pairwise intersections of the three boundary lines and keep valid points. The valid corners are ((3,1)), ((7,1)), and ((3,5)).

Step 2

Why this answer is correct

The correct answer is A. ((3,1)), ((7,1)), ((3,5)). Take pairwise intersections of the three boundary lines and keep valid points. The valid corners are ((3,1)), ((7,1)), and ((3,5)).

Step 3

Exam Tip

तीन सीमा रेखाओं के जोड़ीदार प्रतिच्छेद लेकर वैध बिंदु चुनें। वैध कोने ((3,1)), ((7,1)), ((3,5)) हैं।

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Mathematics Answer, Explanation and Revision Hints

रेखाओं (x=3), (y=1), (x+y=8) से बनी असमानताओं \(x\geq 3\), \(y\geq 1\), \(x+y\leq 8\) के हल-क्षेत्र के शीर्ष कौन से हैं? / What are the vertices of the solution region formed by \(x\geq 3\), \(y\geq 1\), \(x+y\leq 8\)?

Correct Answer: A. ((3,1)), ((7,1)), ((3,5)). Explanation: तीन सीमा रेखाओं के जोड़ीदार प्रतिच्छेद लेकर वैध बिंदु चुनें। वैध कोने ((3,1)), ((7,1)), ((3,5)) हैं। / Take pairwise intersections of the three boundary lines and keep valid points. The valid corners are ((3,1)), ((7,1)), and ((3,5)).

Which concept should I revise for this Mathematics MCQ?

Take pairwise intersections of the three boundary lines and keep valid points. The valid corners are ((3,1)), ((7,1)), and ((3,5)).

What exam hint can help solve this Mathematics question?

तीन सीमा रेखाओं के जोड़ीदार प्रतिच्छेद लेकर वैध बिंदु चुनें। वैध कोने ((3,1)), ((7,1)), ((3,5)) हैं।