असमानता \(3x+4y\le 24\), \(x\ge 0\), \(y\ge 0\) से बने क्षेत्र के शीर्ष कौन-से हैं?

What are the vertices of the region \(3x+4y\le 24\), \(x\ge 0\), \(y\ge 0\)?

Explanation opens after your attempt
Correct Answer

A. ((0,0)), ((8,0)), ((0,6))

Step 1

Concept

The line intercepts are ((8,0)) and ((0,6)), and the axes meet at ((0,0)). These are the triangle vertices in the first quadrant.

Step 2

Why this answer is correct

The correct answer is A. ((0,0)), ((8,0)), ((0,6)). The line intercepts are ((8,0)) and ((0,6)), and the axes meet at ((0,0)). These are the triangle vertices in the first quadrant.

Step 3

Exam Tip

रेखा के अवरोध ((8,0)) और ((0,6)) हैं तथा अक्षों का प्रतिच्छेद ((0,0)) है। प्रथम चतुर्थांश में ये त्रिभुज के शीर्ष हैं।

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Mathematics Answer, Explanation and Revision Hints

असमानता \(3x+4y\le 24\), \(x\ge 0\), \(y\ge 0\) से बने क्षेत्र के शीर्ष कौन-से हैं? / What are the vertices of the region \(3x+4y\le 24\), \(x\ge 0\), \(y\ge 0\)?

Correct Answer: A. ((0,0)), ((8,0)), ((0,6)). Explanation: रेखा के अवरोध ((8,0)) और ((0,6)) हैं तथा अक्षों का प्रतिच्छेद ((0,0)) है। प्रथम चतुर्थांश में ये त्रिभुज के शीर्ष हैं। / The line intercepts are ((8,0)) and ((0,6)), and the axes meet at ((0,0)). These are the triangle vertices in the first quadrant.

Which concept should I revise for this Mathematics MCQ?

The line intercepts are ((8,0)) and ((0,6)), and the axes meet at ((0,0)). These are the triangle vertices in the first quadrant.

What exam hint can help solve this Mathematics question?

रेखा के अवरोध ((8,0)) और ((0,6)) हैं तथा अक्षों का प्रतिच्छेद ((0,0)) है। प्रथम चतुर्थांश में ये त्रिभुज के शीर्ष हैं।