प्रथम चतुर्थांश में \(2x+y\geq 6\), \(x+2y\geq 6\) के सामान्य क्षेत्र का मूल बिंदु के सबसे निकट वाला कोना कौन-सा है?
In the first quadrant, which corner of the common region of \(2x+y\geq 6\), \(x+2y\geq 6\) is nearest to the origin?
Explanation opens after your attempt
B. ((2,2))
Concept
The two boundary lines meet at ((2,2)), which is the nearest corner of the outer unbounded region. Exam tip: In two \(\geq\) regions, the intersection point is often crucial.
Why this answer is correct
The correct answer is B. ((2,2)). The two boundary lines meet at ((2,2)), which is the nearest corner of the outer unbounded region. Exam tip: In two \(\geq\) regions, the intersection point is often crucial.
Exam Tip
दोनों सीमा रेखाएँ ((2,2)) पर मिलती हैं और वही बाहरी असीमित क्षेत्र का निकटतम कोना है। परीक्षा सुझाव: दो \(\geq\) क्षेत्रों में प्रतिच्छेद बिंदु अक्सर महत्वपूर्ण होता है।
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