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What are the vertices of the solution region of (x\geq 0), (y\geq 0), (x+2y\leq 6), (2x+y\leq 6)?तंत्र (x\geq 0), (y\geq 0), (x+2y\leq 6), (2x+y\leq 6) के हल क्षेत्र के शीर्ष कौन-से हैं?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: ((0,0)), ((3,0)), ((2,2)), ((0,3))((0,0)), ((3,0)), ((2,2)), ((0,3))
The two lines intersect at ((2,2)), and the axes give the limits ((3,0)) and ((0,3)). Exam tip: Verify all possible vertices with the inequalities.दोनों रेखाओं का प्रतिच्छेद ((2,2)) है और अक्षों पर सीमाएँ ((3,0)), ((0,3)) देती हैं। परीक्षा सुझाव: सभी संभावित शीर्षों को असमानताओं से सत्यापित करें।
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