असमिकाओं \(x+y\le 4\), \(x\ge 0\), \(y\ge 0\) से बने त्रिभुज का क्षेत्रफल कितना है?

What is the area of the triangle formed by \(x+y\le 4\), \(x\ge 0\), \(y\ge 0\)?

Explanation opens after your attempt
Correct Answer

A. (8) वर्ग इकाई(8) square units

Step 1

Concept

The intercepts are (4) and (4), so area is \(\frac{1}{2}\times 4\times 4=8\). Remember the intercept triangle formula.

Step 2

Why this answer is correct

The correct answer is A. (8) वर्ग इकाई / (8) square units. The intercepts are (4) and (4), so area is \(\frac{1}{2}\times 4\times 4=8\). Remember the intercept triangle formula.

Step 3

Exam Tip

त्रिभुज के intercepts (4) और (4) हैं, इसलिए क्षेत्रफल \(\frac{1}{2}\times 4\times 4=8\) है। परीक्षा में intercept triangle का formula याद रखें।

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Mathematics Answer, Explanation and Revision Hints

असमिकाओं \(x+y\le 4\), \(x\ge 0\), \(y\ge 0\) से बने त्रिभुज का क्षेत्रफल कितना है? / What is the area of the triangle formed by \(x+y\le 4\), \(x\ge 0\), \(y\ge 0\)?

Correct Answer: A. (8) वर्ग इकाई / (8) square units. Explanation: त्रिभुज के intercepts (4) और (4) हैं, इसलिए क्षेत्रफल \(\frac{1}{2}\times 4\times 4=8\) है। परीक्षा में intercept triangle का formula याद रखें। / The intercepts are (4) and (4), so area is \(\frac{1}{2}\times 4\times 4=8\). Remember the intercept triangle formula.

Which concept should I revise for this Mathematics MCQ?

The intercepts are (4) and (4), so area is \(\frac{1}{2}\times 4\times 4=8\). Remember the intercept triangle formula.

What exam hint can help solve this Mathematics question?

त्रिभुज के intercepts (4) और (4) हैं, इसलिए क्षेत्रफल \(\frac{1}{2}\times 4\times 4=8\) है। परीक्षा में intercept triangle का formula याद रखें।