असमानताओं \(x\leq 4\), \(y\leq 3\), \(x+y\geq 5\), \(x\geq 0\), \(y\geq 0\) का हल-क्षेत्र कौन सा है?

Which is the solution region of \(x\leq 4\), \(y\leq 3\), \(x+y\geq 5\), \(x\geq 0\), \(y\geq 0\)?

Explanation opens after your attempt
Correct Answer

B. त्रिभुज जिसके शीर्ष ((2,3)), ((4,1)), ((4,3)) हैंTriangle with vertices ((2,3)), ((4,1)), ((4,3))

Step 1

Concept

From the rectangle \(0\leq x\leq 4\), \(0\leq y\leq 3\), the part above (x+y=5) remains. Its vertices are ((2,3)), ((4,1)), and ((4,3)).

Step 2

Why this answer is correct

The correct answer is B. त्रिभुज जिसके शीर्ष ((2,3)), ((4,1)), ((4,3)) हैं / Triangle with vertices ((2,3)), ((4,1)), ((4,3)). From the rectangle \(0\leq x\leq 4\), \(0\leq y\leq 3\), the part above (x+y=5) remains. Its vertices are ((2,3)), ((4,1)), and ((4,3)).

Step 3

Exam Tip

आयत \(0\leq x\leq 4\), \(0\leq y\leq 3\) से रेखा (x+y=5) के ऊपर का छोटा भाग बचता है। उसके शीर्ष ((2,3)), ((4,1)), ((4,3)) हैं।

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Mathematics Answer, Explanation and Revision Hints

असमानताओं \(x\leq 4\), \(y\leq 3\), \(x+y\geq 5\), \(x\geq 0\), \(y\geq 0\) का हल-क्षेत्र कौन सा है? / Which is the solution region of \(x\leq 4\), \(y\leq 3\), \(x+y\geq 5\), \(x\geq 0\), \(y\geq 0\)?

Correct Answer: B. त्रिभुज जिसके शीर्ष ((2,3)), ((4,1)), ((4,3)) हैं / Triangle with vertices ((2,3)), ((4,1)), ((4,3)). Explanation: आयत \(0\leq x\leq 4\), \(0\leq y\leq 3\) से रेखा (x+y=5) के ऊपर का छोटा भाग बचता है। उसके शीर्ष ((2,3)), ((4,1)), ((4,3)) हैं। / From the rectangle \(0\leq x\leq 4\), \(0\leq y\leq 3\), the part above (x+y=5) remains. Its vertices are ((2,3)), ((4,1)), and ((4,3)).

Which concept should I revise for this Mathematics MCQ?

From the rectangle \(0\leq x\leq 4\), \(0\leq y\leq 3\), the part above (x+y=5) remains. Its vertices are ((2,3)), ((4,1)), and ((4,3)).

What exam hint can help solve this Mathematics question?

आयत \(0\leq x\leq 4\), \(0\leq y\leq 3\) से रेखा (x+y=5) के ऊपर का छोटा भाग बचता है। उसके शीर्ष ((2,3)), ((4,1)), ((4,3)) हैं।