तंत्र \(x-y\leq 0\), \(x+y\leq 4\), \(x\geq 0\) के हल क्षेत्र के शीर्ष कौन-से हैं?
What are the vertices of the solution region of \(x-y\leq 0\), \(x+y\leq 4\), \(x\geq 0\)?
Explanation opens after your attempt
Correct Answer
D. ((0,0)), ((0,4)), ((2,2))
Concept
The condition \(x-y\leq 0\) gives \(y\geq x\), and together with \(x+y\leq 4\) these form the triangle. Exam tip: Test every vertex in all inequalities.
Why this answer is correct
The correct answer is D. ((0,0)), ((0,4)), ((2,2)). The condition \(x-y\leq 0\) gives \(y\geq x\), and together with \(x+y\leq 4\) these form the triangle. Exam tip: Test every vertex in all inequalities.
Exam Tip
\(x-y\leq 0\) से \(y\geq x\) और \(x+y\leq 4\) मिलकर ये त्रिभुज बनाते हैं। परीक्षा सुझाव: हर शीर्ष को सभी असमानताओं में रखकर जाँचें।
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