असमानताओं \(x\ge 0\), \(y\ge 0\), \(2x+y\le 8\), \(x+2y\le 8\) के हल क्षेत्र का एक शीर्ष कौन-सा है?
Which is a vertex of the solution region of \(x\ge 0\), \(y\ge 0\), \(2x+y\le 8\), and \(x+2y\le 8\)?
Explanation opens after your attempt
Correct Answer
C. (\left\(\frac{8}{3},\frac{8}{3}\right\))
Concept
Solving the two oblique lines gives \(x=y=\frac{8}{3}\). This is an inner vertex of the common region.
Why this answer is correct
The correct answer is C. (\left\(\frac{8}{3},\frac{8}{3}\right\)). Solving the two oblique lines gives \(x=y=\frac{8}{3}\). This is an inner vertex of the common region.
Exam Tip
दोनों तिरछी रेखाओं को हल करने पर \(x=y=\frac{8}{3}\) मिलता है। यह संयुक्त क्षेत्र का अंदरूनी शीर्ष है।
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