हल-क्षेत्र \(x\geq 0\), \(y\geq 0\), \(px+y\leq 6\) सीमित होने के लिए (p) की सही शर्त क्या है?
For the region \(x\geq 0\), \(y\geq 0\), \(px+y\leq 6\) to be bounded, what is the correct condition on (p)?
Explanation opens after your attempt
C. (p>0)
Concept
If (p>0), the (x)-intercept \(\frac{6}{p}\) is finite. If \(p\leq 0\), the region is not bounded in the (x)-direction in the first quadrant.
Why this answer is correct
The correct answer is C. (p>0). If (p>0), the (x)-intercept \(\frac{6}{p}\) is finite. If \(p\leq 0\), the region is not bounded in the (x)-direction in the first quadrant.
Exam Tip
यदि (p>0), तो (x)-अवरोध \(\frac{6}{p}\) सीमित होता है। \(p\leq 0\) होने पर प्रथम चतुर्थांश में क्षेत्र (x) दिशा में सीमित नहीं रहता।
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