असमानताओं \(x\ge 0\), \(y\ge 0\), \(x+2y\le 6\), \(2x+y\le 6\) के हल क्षेत्र में दोनों तिरछी रेखाओं का प्रतिच्छेद कौन-सा है?
In the solution region of \(x\ge 0\), \(y\ge 0\), \(x+2y\le 6\), and \(2x+y\le 6\), what is the intersection of the two oblique lines?
Explanation opens after your attempt
B. ((2,2))
Concept
Solving (x+2y=6) and (2x+y=6) gives (x=2) and (y=2). This is an important vertex of the common region.
Why this answer is correct
The correct answer is B. ((2,2)). Solving (x+2y=6) and (2x+y=6) gives (x=2) and (y=2). This is an important vertex of the common region.
Exam Tip
(x+2y=6) और (2x+y=6) हल करने पर (x=2) और (y=2) मिलता है। यह संयुक्त क्षेत्र का महत्वपूर्ण शीर्ष है।
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