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For the region formed by \(x+2y\leq 8\), \(2x+y\leq 8\), \(x\geq 0\), \(y\geq 0\), which vertex is the intersection of the two oblique boundary lines?असमानताओं \(x+2y\leq 8\), \(2x+y\leq 8\), \(x\geq 0\), \(y\geq 0\) से बने क्षेत्र में वह शीर्ष कौन-सा है जहां दोनों तिरछी रेखाएं मिलती हैं?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: Point \(\left(\frac{8}{3},\frac{8}{3}\right)\)बिंदु \(\left(\frac{8}{3},\frac{8}{3}\right)\)
Solving the two boundary lines together gives \(x=y=\frac{8}{3}\). In exams, find vertices by treating boundary lines as equations.दोनों रेखाओं को साथ हल करने पर \(x=y=\frac{8}{3}\) मिलता है। परीक्षा में शीर्ष निकालने के लिए सीमा रेखाओं को समीकरण मानें।
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