क्षेत्र \(x+y\le 5\), \(x+2y\ge 4\), \(x\ge 0\), \(y\ge 0\) में कौन-सा बिंदु अंदर है लेकिन सीमा पर नहीं है?

Which point is inside the region \(x+y\le 5\), \(x+2y\ge 4\), \(x\ge 0\), \(y\ge 0\), but not on the boundary?

Explanation opens after your attempt
Correct Answer

B. ((2,2))

Step 1

Concept

At ((2,2)), (4<5) and (6>4), so it is inside and not on a boundary. An interior point does not satisfy any boundary as equality.

Step 2

Why this answer is correct

The correct answer is B. ((2,2)). At ((2,2)), (4<5) and (6>4), so it is inside and not on a boundary. An interior point does not satisfy any boundary as equality.

Step 3

Exam Tip

((2,2)) पर (4<5) और (6>4), इसलिए यह अंदर है और सीमा पर नहीं। अंदरूनी बिंदु में कोई भी सीमा बराबरी नहीं देती।

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Mathematics Answer, Explanation and Revision Hints

क्षेत्र \(x+y\le 5\), \(x+2y\ge 4\), \(x\ge 0\), \(y\ge 0\) में कौन-सा बिंदु अंदर है लेकिन सीमा पर नहीं है? / Which point is inside the region \(x+y\le 5\), \(x+2y\ge 4\), \(x\ge 0\), \(y\ge 0\), but not on the boundary?

Correct Answer: B. ((2,2)). Explanation: ((2,2)) पर (4<5) और (6>4), इसलिए यह अंदर है और सीमा पर नहीं। अंदरूनी बिंदु में कोई भी सीमा बराबरी नहीं देती। / At ((2,2)), (4<5) and (6>4), so it is inside and not on a boundary. An interior point does not satisfy any boundary as equality.

Which concept should I revise for this Mathematics MCQ?

At ((2,2)), (4<5) and (6>4), so it is inside and not on a boundary. An interior point does not satisfy any boundary as equality.

What exam hint can help solve this Mathematics question?

((2,2)) पर (4<5) और (6>4), इसलिए यह अंदर है और सीमा पर नहीं। अंदरूनी बिंदु में कोई भी सीमा बराबरी नहीं देती।