असमानताओं \(x\geq 2\), \(y\geq 0\), \(x+y\leq 9\), \(2x+y\leq 12\) से बने हल-क्षेत्र का क्षेत्रफल कितना है?

What is the area of the solution region formed by \(x\geq 2\), \(y\geq 0\), \(x+y\leq 9\), and \(2x+y\leq 12\)?

Explanation opens after your attempt
Correct Answer

A. (20) वर्ग इकाई(20) square units

Step 1

Concept

The vertices are ((2,0)), ((6,0)), ((3,6)), and ((2,7)). Using the shoelace method or splitting into parts gives area (20).

Step 2

Why this answer is correct

The correct answer is A. (20) वर्ग इकाई / (20) square units. The vertices are ((2,0)), ((6,0)), ((3,6)), and ((2,7)). Using the shoelace method or splitting into parts gives area (20).

Step 3

Exam Tip

शीर्ष ((2,0)), ((6,0)), ((3,6)), ((2,7)) हैं। शूलेस विधि या भागों में बांटकर क्षेत्रफल (20) मिलता है।

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Mathematics Answer, Explanation and Revision Hints

असमानताओं \(x\geq 2\), \(y\geq 0\), \(x+y\leq 9\), \(2x+y\leq 12\) से बने हल-क्षेत्र का क्षेत्रफल कितना है? / What is the area of the solution region formed by \(x\geq 2\), \(y\geq 0\), \(x+y\leq 9\), and \(2x+y\leq 12\)?

Correct Answer: A. (20) वर्ग इकाई / (20) square units. Explanation: शीर्ष ((2,0)), ((6,0)), ((3,6)), ((2,7)) हैं। शूलेस विधि या भागों में बांटकर क्षेत्रफल (20) मिलता है। / The vertices are ((2,0)), ((6,0)), ((3,6)), and ((2,7)). Using the shoelace method or splitting into parts gives area (20).

Which concept should I revise for this Mathematics MCQ?

The vertices are ((2,0)), ((6,0)), ((3,6)), and ((2,7)). Using the shoelace method or splitting into parts gives area (20).

What exam hint can help solve this Mathematics question?

शीर्ष ((2,0)), ((6,0)), ((3,6)), ((2,7)) हैं। शूलेस विधि या भागों में बांटकर क्षेत्रफल (20) मिलता है।