क्षेत्र \(2x+y\ge 6\), \(x+y\le 8\), \(x\ge 0\), \(y\ge 0\) में कौन-सा अक्षीय बिंदु शामिल है?

Which axial point is included in the region \(2x+y\ge 6\), \(x+y\le 8\), \(x\ge 0\), \(y\ge 0\)?

Explanation opens after your attempt
Correct Answer

A. ((0,4))

Step 1

Concept

None of the listed points fully satisfies the system, because each fails at least one inequality. Always verify all inequalities before choosing an axial point.

Step 2

Why this answer is correct

The correct answer is A. ((0,4)). None of the listed points fully satisfies the system, because each fails at least one inequality. Always verify all inequalities before choosing an axial point.

Step 3

Exam Tip

((0,4)) पर \(4\ge 6\) गलत है; सही अक्षीय जांच में ((3,0)) होता, पर विकल्पों में ((0,4)) नहीं चलता। इसलिए दिए विकल्पों में कोई पूर्ण सही नहीं है।

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Mathematics Answer, Explanation and Revision Hints

क्षेत्र \(2x+y\ge 6\), \(x+y\le 8\), \(x\ge 0\), \(y\ge 0\) में कौन-सा अक्षीय बिंदु शामिल है? / Which axial point is included in the region \(2x+y\ge 6\), \(x+y\le 8\), \(x\ge 0\), \(y\ge 0\)?

Correct Answer: A. ((0,4)). Explanation: ((0,4)) पर \(4\ge 6\) गलत है; सही अक्षीय जांच में ((3,0)) होता, पर विकल्पों में ((0,4)) नहीं चलता। इसलिए दिए विकल्पों में कोई पूर्ण सही नहीं है। / None of the listed points fully satisfies the system, because each fails at least one inequality. Always verify all inequalities before choosing an axial point.

Which concept should I revise for this Mathematics MCQ?

None of the listed points fully satisfies the system, because each fails at least one inequality. Always verify all inequalities before choosing an axial point.

What exam hint can help solve this Mathematics question?

((0,4)) पर \(4\ge 6\) गलत है; सही अक्षीय जांच में ((3,0)) होता, पर विकल्पों में ((0,4)) नहीं चलता। इसलिए दिए विकल्पों में कोई पूर्ण सही नहीं है।