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rectangle clipping MCQ Questions for Class 11

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4 questions tagged with rectangle clipping.

Question 1/4 Expert Mathematics Linear Inequalities Graphical solution of linear inequalities in two variables Class 11 Level 51

असमानताओं \(x\geq 2\), \(y\geq 1\), \(x\leq 6\), \(y\leq 5\), \(x+y\leq 8\) के हल-क्षेत्र में कितने शीर्ष हैं?

How many vertices are in the solution region of \(x\geq 2\), \(y\geq 1\), \(x\leq 6\), \(y\leq 5\), and \(x+y\leq 8\)?

Explanation opens after your attempt

Correct Answer

C. (5)

Step 1

Concept

The rectangle \([2,6]\times[1,5]\) is cut by the line (x+y=8). The corners are ((2,1)), ((6,1)), ((6,2)), ((3,5)), and ((2,5)).

Step 2

Why this answer is correct

The correct answer is C. (5). The rectangle \([2,6]\times[1,5]\) is cut by the line (x+y=8). The corners are ((2,1)), ((6,1)), ((6,2)), ((3,5)), and ((2,5)).

Step 3

Exam Tip

आयत \([2,6]\times[1,5]\) को रेखा (x+y=8) काटती है। कोने ((2,1)), ((6,1)), ((6,2)), ((3,5)), ((2,5)) हैं।

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Question 2/4 Expert Mathematics Linear Inequalities Graphical solution of linear inequalities in two variables Class 11 Level 51

असमानताओं \(x\leq 5\), \(y\leq 3\), \(x+y\geq 4\), \(x\geq 0\), \(y\geq 0\) के हल-क्षेत्र में कितने शीर्ष हैं?

How many vertices are in the solution region of \(x\leq 5\), \(y\leq 3\), \(x+y\geq 4\), \(x\geq 0\), and \(y\geq 0\)?

Explanation opens after your attempt

Correct Answer

B. (4)

Step 1

Concept

Inside the rectangle, the part above (x+y=4) remains. Its vertices are ((1,3)), ((5,3)), ((5,0)), and ((4,0)).

Step 2

Why this answer is correct

The correct answer is B. (4). Inside the rectangle, the part above (x+y=4) remains. Its vertices are ((1,3)), ((5,3)), ((5,0)), and ((4,0)).

Step 3

Exam Tip

आयत में रेखा (x+y=4) के ऊपर का भाग बचता है। इसके शीर्ष ((1,3)), ((5,3)), ((5,0)), ((4,0)) हैं।

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Question 3/4 Expert Mathematics Linear Inequalities Graphical solution of linear inequalities in two variables Class 11 Level 50

असमानताओं \(x\leq 6\), \(y\leq 4\), \(x+2y\geq 10\), \(x\geq 0\), \(y\geq 0\) से बनने वाले क्षेत्र के शीर्ष कौन से हैं?

What are the vertices of the region formed by \(x\leq 6\), \(y\leq 4\), \(x+2y\geq 10\), \(x\geq 0\), and \(y\geq 0\)?

Explanation opens after your attempt

Correct Answer

A. ((2,4)), ((6,2)), ((6,4))

Step 1

Concept

Inside the rectangle \(0\leq x\leq 6\), \(0\leq y\leq 4\), the part above (x+2y=10) remains. Hence the vertices are ((2,4)), ((6,2)), and ((6,4)).

Step 2

Why this answer is correct

The correct answer is A. ((2,4)), ((6,2)), ((6,4)). Inside the rectangle \(0\leq x\leq 6\), \(0\leq y\leq 4\), the part above (x+2y=10) remains. Hence the vertices are ((2,4)), ((6,2)), and ((6,4)).

Step 3

Exam Tip

आयत \(0\leq x\leq 6\), \(0\leq y\leq 4\) में रेखा (x+2y=10) के ऊपर का भाग बचता है। इसलिए शीर्ष ((2,4)), ((6,2)), ((6,4)) हैं।

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Question 4/4 Expert Mathematics Linear Inequalities Graphical solution of linear inequalities in two variables Class 11 Level 50

असमानताओं \(x\leq 4\), \(y\leq 3\), \(x+y\geq 5\), \(x\geq 0\), \(y\geq 0\) का हल-क्षेत्र कौन सा है?

Which is the solution region of \(x\leq 4\), \(y\leq 3\), \(x+y\geq 5\), \(x\geq 0\), \(y\geq 0\)?

Explanation opens after your attempt

Correct Answer

B. त्रिभुज जिसके शीर्ष ((2,3)), ((4,1)), ((4,3)) हैंTriangle with vertices ((2,3)), ((4,1)), ((4,3))

Step 1

Concept

From the rectangle \(0\leq x\leq 4\), \(0\leq y\leq 3\), the part above (x+y=5) remains. Its vertices are ((2,3)), ((4,1)), and ((4,3)).

Step 2

Why this answer is correct

The correct answer is B. त्रिभुज जिसके शीर्ष ((2,3)), ((4,1)), ((4,3)) हैं / Triangle with vertices ((2,3)), ((4,1)), ((4,3)). From the rectangle \(0\leq x\leq 4\), \(0\leq y\leq 3\), the part above (x+y=5) remains. Its vertices are ((2,3)), ((4,1)), and ((4,3)).

Step 3

Exam Tip

आयत \(0\leq x\leq 4\), \(0\leq y\leq 3\) से रेखा (x+y=5) के ऊपर का छोटा भाग बचता है। उसके शीर्ष ((2,3)), ((4,1)), ((4,3)) हैं।

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rectangle clipping MCQ Questions for Class 11

Practice Questions

असमानताओं \(x\geq 2\), \(y\geq 1\), \(x\leq 6\), \(y\leq 5\), \(x+y\leq 8\) के हल-क्षेत्र में कितने शीर्ष हैं?

Concept

Why this answer is correct

Exam Tip

असमानताओं \(x\leq 5\), \(y\leq 3\), \(x+y\geq 4\), \(x\geq 0\), \(y\geq 0\) के हल-क्षेत्र में कितने शीर्ष हैं?

Concept

Why this answer is correct

Exam Tip

असमानताओं \(x\leq 6\), \(y\leq 4\), \(x+2y\geq 10\), \(x\geq 0\), \(y\geq 0\) से बनने वाले क्षेत्र के शीर्ष कौन से हैं?

Concept

Why this answer is correct

Exam Tip

असमानताओं \(x\leq 4\), \(y\leq 3\), \(x+y\geq 5\), \(x\geq 0\), \(y\geq 0\) का हल-क्षेत्र कौन सा है?

Concept

Why this answer is correct

Exam Tip

rectangle clipping Revision Links

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rectangle clipping MCQ Questions for Class 11

Practice Questions

असमानताओं \(x\geq 2\), \(y\geq 1\), \(x\leq 6\), \(y\leq 5\), \(x+y\leq 8\) के हल-क्षेत्र में कितने शीर्ष हैं?

Concept

Why this answer is correct

Exam Tip

असमानताओं \(x\leq 5\), \(y\leq 3\), \(x+y\geq 4\), \(x\geq 0\), \(y\geq 0\) के हल-क्षेत्र में कितने शीर्ष हैं?

Concept

Why this answer is correct

Exam Tip

असमानताओं \(x\leq 6\), \(y\leq 4\), \(x+2y\geq 10\), \(x\geq 0\), \(y\geq 0\) से बनने वाले क्षेत्र के शीर्ष कौन से हैं?

Concept

Why this answer is correct

Exam Tip

असमानताओं \(x\leq 4\), \(y\leq 3\), \(x+y\geq 5\), \(x\geq 0\), \(y\geq 0\) का हल-क्षेत्र कौन सा है?

Concept

Why this answer is correct

Exam Tip

rectangle clipping Revision Links

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