तंत्र \(x\leq 4\), \(y\leq 4\), \(x+y\geq 6\), \(x\geq 0\), \(y\geq 0\) के हल क्षेत्र के शीर्ष कौन-से हैं?
What are the vertices of the solution region of \(x\leq 4\), \(y\leq 4\), \(x+y\geq 6\), \(x\geq 0\), \(y\geq 0\)?
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Correct Answer
A. ((2,4)), ((4,2)), ((4,4))
Concept
Inside the square \(0\leq x\leq 4\), \(0\leq y\leq 4\), the condition \(x+y\geq 6\) leaves the upper-right triangle. Exam tip: Draw the larger region first and then cut it.
Why this answer is correct
The correct answer is A. ((2,4)), ((4,2)), ((4,4)). Inside the square \(0\leq x\leq 4\), \(0\leq y\leq 4\), the condition \(x+y\geq 6\) leaves the upper-right triangle. Exam tip: Draw the larger region first and then cut it.
Exam Tip
वर्ग \(0\leq x\leq 4\), \(0\leq y\leq 4\) में \(x+y\geq 6\) ऊपर-दाईं त्रिभुज छोड़ता है। परीक्षा सुझाव: पहले बड़ा क्षेत्र बनाकर फिर कटान करें।
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