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objective function MCQ Questions for Class 11

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5 questions tagged with objective function.

Question 1/5 Expert Mathematics Linear Inequalities Graphical solution of linear inequalities in two variables Class 11 Level 51

हल-क्षेत्र \(x\geq 0\), \(y\geq 0\), \(x+2y\leq 10\), \(2x+y\leq 12\) में (x-y) का अधिकतम मान क्या है?

In the solution region \(x\geq 0\), \(y\geq 0\), \(x+2y\leq 10\), and \(2x+y\leq 12\), what is the maximum value of (x-y)?

Explanation opens after your attempt
Correct Answer

B. (6)

Step 1

Concept

Checking the corners gives the largest value (x-y=6) at ((6,0)). A linear expression attains its maximum at a corner.

Step 2

Why this answer is correct

The correct answer is B. (6). Checking the corners gives the largest value (x-y=6) at ((6,0)). A linear expression attains its maximum at a corner.

Step 3

Exam Tip

कोनों पर जांचने से ((6,0)) पर (x-y=6) सबसे बड़ा है। रैखिक व्यंजक का अधिकतम कोनों पर मिलता है।

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Question 2/5 Expert Mathematics Linear Inequalities Graphical solution of linear inequalities in two variables Class 11 Level 51

हल-क्षेत्र \(x\leq 4\), \(y\leq 5\), \(x+y\leq 7\), \(x\geq 0\), \(y\geq 0\) में (x+2y) का अधिकतम मान क्या है?

In the solution region \(x\leq 4\), \(y\leq 5\), \(x+y\leq 7\), \(x\geq 0\), and \(y\geq 0\), what is the maximum value of (x+2y)?

Explanation opens after your attempt
Correct Answer

A. (12)

Step 1

Concept

Checking (x+2y) at the corners gives the maximum (12) at ((2,5)). For a linear expression, checking corners is sufficient.

Step 2

Why this answer is correct

The correct answer is A. (12). Checking (x+2y) at the corners gives the maximum (12) at ((2,5)). For a linear expression, checking corners is sufficient.

Step 3

Exam Tip

कोनों पर (x+2y) जांचने से ((2,5)) पर अधिकतम (12) मिलता है। रैखिक व्यंजक के लिए कोनों की जांच पर्याप्त होती है।

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Question 3/5 Expert Mathematics Linear Inequalities Graphical solution of linear inequalities in two variables Class 11 Level 51

हल-क्षेत्र \(x+y\leq 6\), \(2x+y\leq 8\), \(x\geq 0\), \(y\geq 0\) में (2x+3y) का अधिकतम मान क्या है?

In the solution region \(x+y\leq 6\), \(2x+y\leq 8\), \(x\geq 0\), and \(y\geq 0\), what is the maximum value of (2x+3y)?

Explanation opens after your attempt
Correct Answer

D. (18)

Step 1

Concept

Checking the corners shows (2x+3y=18) at ((0,6)), which is largest. For a linear expression, check the corner points.

Step 2

Why this answer is correct

The correct answer is D. (18). Checking the corners shows (2x+3y=18) at ((0,6)), which is largest. For a linear expression, check the corner points.

Step 3

Exam Tip

कोनों पर जांचने से ((0,6)) पर (2x+3y=18) सबसे बड़ा है। रैखिक व्यंजक का अधिकतम कोनों पर जांचें।

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

हल-क्षेत्र \(x\geq 0\), \(y\geq 0\), \(x+2y\leq 10\), \(3x+y\leq 12\) में (3x+2y) का अधिकतम मान क्या है?

In the solution region \(x\geq 0\), \(y\geq 0\), \(x+2y\leq 10\), and \(3x+y\leq 12\), what is the maximum value of (3x+2y)?

Explanation opens after your attempt
Correct Answer

A. (16)

Step 1

Concept

Checking the corners gives (10) at ((0,5)), (12) at ((4,0)), and (16) at (\left\(\frac{14}{5},\frac{18}{5}\right\)). A linear expression attains its maximum at a corner.

Step 2

Why this answer is correct

The correct answer is A. (16). Checking the corners gives (10) at ((0,5)), (12) at ((4,0)), and (16) at (\left\(\frac{14}{5},\frac{18}{5}\right\)). A linear expression attains its maximum at a corner.

Step 3

Exam Tip

कोनों पर जांचने से ((0,5)) पर (10), ((4,0)) पर (12), और (\left\(\frac{14}{5},\frac{18}{5}\right\)) पर (16) मिलता है। रैखिक व्यंजक का अधिकतम कोनों पर मिलता है।

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Question 5/5 Expert Mathematics Linear Inequalities Graphical solution of linear inequalities in two variables Class 11 Level 49

प्रणाली \(x+2y\le 14\), \(2x+y\le 16\), \(x\ge 0\), \(y\ge 0\) में (3x+2y) का अधिकतम मान क्या है?

What is the maximum value of (3x+2y) in the system \(x+2y\le 14\), \(2x+y\le 16\), \(x\ge 0\), \(y\ge 0\)?

Explanation opens after your attempt
Correct Answer

D. (30)

Step 1

Concept

The feasible vertices are ((0,0)), ((8,0)), ((6,4)), and ((0,7)); the maximum is (26) at ((6,4)). None of the listed options matches the correct value.

Step 2

Why this answer is correct

The correct answer is D. (30). The feasible vertices are ((0,0)), ((8,0)), ((6,4)), and ((0,7)); the maximum is (26) at ((6,4)). None of the listed options matches the correct value.

Step 3

Exam Tip

शीर्ष ((0,0)), ((8,0)), ((6,4)), ((0,7)) हैं; ((6,4)) पर (3x+2y=26), पर ((8,0)) पर (24), इसलिए सही अधिकतम (26) होना चाहिए। दिए विकल्पों में सही मान नहीं है।

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