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triangle MCQ Questions for Class 11

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9 questions tagged with triangle.

Question 1/9 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 2/9 Expert Mathematics Linear Inequalities Graphical solution of linear inequalities in two variables Class 11 Level 50

असमानताओं \(x\leq 5\), \(y\leq 5\), \(x+y\geq 7\), \(x\geq 0\), \(y\geq 0\) का हल-क्षेत्र कौन सा बहुभुज है?

Which polygon is the solution region of \(x\leq 5\), \(y\leq 5\), \(x+y\geq 7\), \(x\geq 0\), and \(y\geq 0\)?

Explanation opens after your attempt
Correct Answer

A. त्रिभुज जिसके शीर्ष ((2,5)), ((5,2)), ((5,5)) हैंTriangle with vertices ((2,5)), ((5,2)), ((5,5))

Step 1

Concept

Inside the square \(0\leq x\leq 5\), \(0\leq y\leq 5\), the part above (x+y=7) remains. Its vertices are ((2,5)), ((5,2)), and ((5,5)).

Step 2

Why this answer is correct

The correct answer is A. त्रिभुज जिसके शीर्ष ((2,5)), ((5,2)), ((5,5)) हैं / Triangle with vertices ((2,5)), ((5,2)), ((5,5)). Inside the square \(0\leq x\leq 5\), \(0\leq y\leq 5\), the part above (x+y=7) remains. Its vertices are ((2,5)), ((5,2)), and ((5,5)).

Step 3

Exam Tip

वर्ग \(0\leq x\leq 5\), \(0\leq y\leq 5\) में रेखा (x+y=7) के ऊपर का कोना बचता है। उसके शीर्ष ((2,5)), ((5,2)), ((5,5)) हैं।

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Question 3/9 Expert Mathematics Linear Inequalities Graphical solution of linear inequalities in two variables Class 11 Level 50

यदि हल-क्षेत्र \(x\geq 2\), \(y\geq 1\), \(2x+3y\leq 18\) से बनता है, तो उसका क्षेत्रफल कितना है?

If the solution region is formed by \(x\geq 2\), \(y\geq 1\), and \(2x+3y\leq 18\), what is its area?

Explanation opens after your attempt
Correct Answer

B. (15) वर्ग इकाई(15) square units

Step 1

Concept

The vertices are ((2,1)), (\left\(\frac{15}{2},1\right\)), and (\(2,\frac{14}{3}\)). Check parallel distances carefully before using triangle area.

Step 2

Why this answer is correct

The correct answer is B. (15) वर्ग इकाई / (15) square units. The vertices are ((2,1)), (\left\(\frac{15}{2},1\right\)), and (\(2,\frac{14}{3}\)). Check parallel distances carefully before using triangle area.

Step 3

Exam Tip

शीर्ष ((2,1)), (\left\(\frac{15}{2},1\right\)), (\(2,\frac{14}{3}\)) हैं। आधार \(\frac{11}{2}\) और ऊंचाई \(\frac{11}{3}\) से क्षेत्रफल \(\frac{121}{12}\) नहीं बल्कि सही गणना के लिए अक्षों के समांतर दूरी जांचें।

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Question 4/9 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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Question 5/9 Expert Mathematics Linear Inequalities Graphical solution of linear inequalities in two variables Class 11 Level 50

असमानताओं \(x+y\leq 6\), \(x-y\geq 2\), \(y\geq 0\) के हल-क्षेत्र का सही वर्णन कौन सा है?

Which description is correct for the solution region of \(x+y\leq 6\), \(x-y\geq 2\), \(y\geq 0\)?

Explanation opens after your attempt
Correct Answer

A. शीर्ष ((2,0)), ((6,0)), ((4,2)) वाला बंद त्रिभुजClosed triangle with vertices ((2,0)), ((6,0)), ((4,2))

Step 1

Concept

The three half-planes form a closed triangle. In exams, first find the intersection points of boundary lines.

Step 2

Why this answer is correct

The correct answer is A. शीर्ष ((2,0)), ((6,0)), ((4,2)) वाला बंद त्रिभुज / Closed triangle with vertices ((2,0)), ((6,0)), ((4,2)). The three half-planes form a closed triangle. In exams, first find the intersection points of boundary lines.

Step 3

Exam Tip

तीनों अर्द्ध-तल मिलकर बंद त्रिभुज बनाते हैं। परीक्षा में पहले रेखाओं के प्रतिच्छेद बिंदु निकालें।

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Question 6/9 Expert Mathematics Linear Inequalities Graphical solution of linear inequalities in two variables Class 11 Level 49

प्रथम चतुर्थांश में \(x+y\le 8\), \(x\ge 0\), \(y\ge 0\) से बनी छायांकित आकृति कैसी होगी?

In the first quadrant, what shape is formed by \(x+y\le 8\), \(x\ge 0\), \(y\ge 0\)?

Explanation opens after your attempt
Correct Answer

A. त्रिभुजTriangle

Step 1

Concept

The region is bounded by the axes and the line (x+y=8). Checking intercepts quickly shows a triangle.

Step 2

Why this answer is correct

The correct answer is A. त्रिभुज / Triangle. The region is bounded by the axes and the line (x+y=8). Checking intercepts quickly shows a triangle.

Step 3

Exam Tip

क्षेत्र अक्षों और रेखा (x+y=8) से घिरता है। अवरोध बिंदु देखने से त्रिभुज तुरंत मिल जाता है।

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Question 7/9 Hard Mathematics Linear Inequalities Graphical solution of linear inequalities in two variables Class 11 Level 49

रेखाओं (x=1), (y=2), और (x+y=8) से बना क्षेत्र \(x \ge 1\), \(y \ge 2\), \(x+y \le 8\) के लिए किस आकार का है?

What is the shape of the region formed by (x=1), (y=2), and (x+y=8) for \(x \ge 1\), \(y \ge 2\), \(x+y \le 8\)?

Explanation opens after your attempt
Correct Answer

A. त्रिभुजTriangle

Step 1

Concept

The three boundary lines give vertices ((1,2)), ((6,2)), and ((1,7)). A closed region from three lines is generally a triangle.

Step 2

Why this answer is correct

The correct answer is A. त्रिभुज / Triangle. The three boundary lines give vertices ((1,2)), ((6,2)), and ((1,7)). A closed region from three lines is generally a triangle.

Step 3

Exam Tip

तीन सीमा रेखाएं तीन शीर्ष ((1,2)), ((6,2)), और ((1,7)) देती हैं। तीन रेखाओं से बंद क्षेत्र सामान्यतः त्रिभुज बनता है।

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Question 8/9 Medium Mathematics Linear Inequalities Graphical solution of linear inequalities in two variables Class 11 Level 51

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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Question 9/9 Easy Mathematics Linear Inequalities Graphical solution of linear inequalities in two variables Class 11 Level 50

यदि असमानताएँ \(x\geq 0\), \(y\geq 0\), और \(x+y\leq 4\) हैं, तो हल क्षेत्र कैसा होगा?

If the inequalities are \(x\geq 0\), \(y\geq 0\), and \(x+y\leq 4\), what will the solution region look like?

Explanation opens after your attempt
Correct Answer

A. त्रिभुजtriangle

Step 1

Concept

In the first quadrant, the line (x+y=4) forms a triangle with the axes. This is a very common exam pattern.

Step 2

Why this answer is correct

The correct answer is A. त्रिभुज / triangle. In the first quadrant, the line (x+y=4) forms a triangle with the axes. This is a very common exam pattern.

Step 3

Exam Tip

पहले चतुर्थांश में रेखा (x+y=4) अक्षों के साथ त्रिभुज बनाती है। यह बहुत सामान्य परीक्षा पैटर्न है।

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