रेखाओं (x=2), (y=4), (3x+2y=18) से बने क्षेत्र \(x\geq 2\), \(y\leq 4\), \(3x+2y\leq 18\) में कौन सा शीर्ष आता है?

Which vertex belongs to the region \(x\geq 2\), \(y\leq 4\), \(3x+2y\leq 18\) formed by the lines (x=2), (y=4), and (3x+2y=18)?

Explanation opens after your attempt
Correct Answer

A. ((2,4))

Step 1

Concept

The point ((2,4)) satisfies all conditions and is the intersection of two boundaries. To identify vertices, first test boundary intersections.

Step 2

Why this answer is correct

The correct answer is A. ((2,4)). The point ((2,4)) satisfies all conditions and is the intersection of two boundaries. To identify vertices, first test boundary intersections.

Step 3

Exam Tip

((2,4)) तीनों शर्तें पूरी करता है और दो सीमाओं का प्रतिच्छेद है। शीर्ष पहचानने के लिए पहले सीमा-रेखाओं के प्रतिच्छेद जांचें।

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रेखाओं (x=2), (y=4), (3x+2y=18) से बने क्षेत्र \(x\geq 2\), \(y\leq 4\), \(3x+2y\leq 18\) में कौन सा शीर्ष आता है? / Which vertex belongs to the region \(x\geq 2\), \(y\leq 4\), \(3x+2y\leq 18\) formed by the lines (x=2), (y=4), and (3x+2y=18)?

Correct Answer: A. ((2,4)). Explanation: ((2,4)) तीनों शर्तें पूरी करता है और दो सीमाओं का प्रतिच्छेद है। शीर्ष पहचानने के लिए पहले सीमा-रेखाओं के प्रतिच्छेद जांचें। / The point ((2,4)) satisfies all conditions and is the intersection of two boundaries. To identify vertices, first test boundary intersections.

Which concept should I revise for this Mathematics MCQ?

The point ((2,4)) satisfies all conditions and is the intersection of two boundaries. To identify vertices, first test boundary intersections.

What exam hint can help solve this Mathematics question?

((2,4)) तीनों शर्तें पूरी करता है और दो सीमाओं का प्रतिच्छेद है। शीर्ष पहचानने के लिए पहले सीमा-रेखाओं के प्रतिच्छेद जांचें।