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common solution MCQ Questions for Class 11

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7 questions tagged with common solution.

Question 1/7 Expert Mathematics Linear Inequalities Graphical solution of linear inequalities in two variables Class 11 Level 51

यदि \(x+3y\leq 9\) और \(x+3y\geq 9\) दोनों साथ दिए हों, तो संयुक्त हल क्या होगा?

If \(x+3y\leq 9\) and \(x+3y\geq 9\) are both given together, what is the common solution?

Explanation opens after your attempt
Correct Answer

D. रेखा (x+3y=9)Line (x+3y=9)

Step 1

Concept

Together the two inequalities force equality (x+3y=9). Opposite inequalities with the same boundary often give only the line.

Step 2

Why this answer is correct

The correct answer is D. रेखा (x+3y=9) / Line (x+3y=9). Together the two inequalities force equality (x+3y=9). Opposite inequalities with the same boundary often give only the line.

Step 3

Exam Tip

दोनों असमानताएं मिलकर बराबरी (x+3y=9) को मजबूर करती हैं। विपरीत दिशाओं की समान सीमा अक्सर केवल रेखा देती है।

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Question 2/7 Expert Mathematics Linear Inequalities Graphical solution of linear inequalities in two variables Class 11 Level 50

यदि \(x+2y\leq 12\) और \(x+2y\geq 12\) दोनों साथ दिए हों, तो संयुक्त हल क्या होगा?

If \(x+2y\leq 12\) and \(x+2y\geq 12\) are both given together, what is the common solution?

Explanation opens after your attempt
Correct Answer

B. रेखा (x+2y=12)Line (x+2y=12)

Step 1

Concept

Together the two inequalities force equality (x+2y=12). Opposite inequalities with the same boundary often give the boundary line.

Step 2

Why this answer is correct

The correct answer is B. रेखा (x+2y=12) / Line (x+2y=12). Together the two inequalities force equality (x+2y=12). Opposite inequalities with the same boundary often give the boundary line.

Step 3

Exam Tip

दोनों असमानताएं मिलकर बराबरी (x+2y=12) को मजबूर करती हैं। विपरीत दिशाओं की समान सीमा अक्सर रेखा देती है।

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Question 3/7 Hard Mathematics Linear Inequalities Graphical solution of linear inequalities in two variables Class 11 Level 51

कौन-सा बिंदु (2x-y<1), \(x+y\geq 4\) दोनों असमानताओं को संतुष्ट करता है?

Which point satisfies both inequalities (2x-y<1), \(x+y\geq 4\)?

Explanation opens after your attempt
Correct Answer

A. ((1,3))

Step 1

Concept

At ((1,3)), both (2-3<1) and \(1+3\geq 4\) are true. Exam tip: Substitute options directly into the inequalities.

Step 2

Why this answer is correct

The correct answer is A. ((1,3)). At ((1,3)), both (2-3<1) and \(1+3\geq 4\) are true. Exam tip: Substitute options directly into the inequalities.

Step 3

Exam Tip

((1,3)) पर (2-3<1) और \(1+3\geq 4\) दोनों सत्य हैं। परीक्षा सुझाव: विकल्पों को सीधे असमानताओं में रखकर जाँचें।

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Question 4/7 Hard Mathematics Linear Inequalities Graphical solution of linear inequalities in two variables Class 11 Level 49

कौन सा बिंदु क्षेत्र \(x-y \le 2\) और \(x+y \ge 4\) दोनों में स्थित है?

Which point lies in both regions \(x-y \le 2\) and \(x+y \ge 4\)?

Explanation opens after your attempt
Correct Answer

C. ((4,3))

Step 1

Concept

At ((4,3)), (x-y=1) and (x+y=7), so both conditions are true. Algebraic checking is faster before graphing.

Step 2

Why this answer is correct

The correct answer is C. ((4,3)). At ((4,3)), (x-y=1) and (x+y=7), so both conditions are true. Algebraic checking is faster before graphing.

Step 3

Exam Tip

((4,3)) पर (x-y=1) और (x+y=7), इसलिए दोनों शर्तें सत्य हैं। ग्राफ से पहले बीजगणितीय जांच तेज होती है।

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Question 5/7 Medium Mathematics Linear Inequalities Graphical solution of linear inequalities in two variables Class 11 Level 50

असमानताओं \(x+y\le 6\) और \(x+y\ge 6\) का संयुक्त हल क्या है?

What is the common solution of \(x+y\le 6\) and \(x+y\ge 6\)?

Explanation opens after your attempt
Correct Answer

B. रेखा (x+y=6)line (x+y=6)

Step 1

Concept

Both conditions together give (x+y=6). Opposite inequalities with equality give the same line.

Step 2

Why this answer is correct

The correct answer is B. रेखा (x+y=6) / line (x+y=6). Both conditions together give (x+y=6). Opposite inequalities with equality give the same line.

Step 3

Exam Tip

दोनों शर्तें मिलकर (x+y=6) देती हैं। विपरीत दिशाओं की बराबरी वाली असमानताएं समान रेखा देती हैं।

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Question 6/7 Medium Mathematics Linear Inequalities Graphical solution of linear inequalities in two variables Class 11 Level 49

असमानताओं \(x\ge 2\) और \(x\le 2\) का संयुक्त हल क्या है?

What is the common solution of \(x\ge 2\) and \(x\le 2\)?

Explanation opens after your attempt
Correct Answer

A. रेखा (x=2)line (x=2)

Step 1

Concept

Both conditions together give (x=2). When \(\ge\) and \(\le\) occur at the same number, equality is obtained.

Step 2

Why this answer is correct

The correct answer is A. रेखा (x=2) / line (x=2). Both conditions together give (x=2). When \(\ge\) and \(\le\) occur at the same number, equality is obtained.

Step 3

Exam Tip

दोनों शर्तें मिलकर (x=2) देती हैं। जब \(\ge\) और \(\le\) एक ही संख्या पर हों तो बराबरी मिलती है।

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Question 7/7 Easy Mathematics Linear Inequalities Graphical solution of linear inequalities in two variables Class 11 Level 50

ग्राफिक हल में दो असमानताओं का संयुक्त हल किससे मिलता है?

In graphical solution, how is the common solution of two inequalities obtained?

Explanation opens after your attempt
Correct Answer

A. दोनों छायांकित क्षेत्रों के प्रतिच्छेद सेintersection of both shaded regions

Step 1

Concept

The region satisfying both inequalities is their intersection. In exams, identify the common shaded part.

Step 2

Why this answer is correct

The correct answer is A. दोनों छायांकित क्षेत्रों के प्रतिच्छेद से / intersection of both shaded regions. The region satisfying both inequalities is their intersection. In exams, identify the common shaded part.

Step 3

Exam Tip

दोनों असमानताओं को साथ में संतुष्ट करने वाला क्षेत्र प्रतिच्छेद होता है। परीक्षा में सामान्य छायांकित भाग पहचानें।

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