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Important Questions

Appendix 2: Mathematical Modelling — Important Questions

Madhya Pradesh Board · Class 12 · Mathematics

64 important questions from Appendix 2: Mathematical Modelling for Madhya Pradesh Board Class 12 Mathematics, with answers.

64 questions60 flashcards5 formulas & key relations5 concepts

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64 Questions·
multiple choicemultiple correct

Important Questions from Appendix 2: Mathematical Modelling

1multiple choice
3 marks

For the inaccessible-foot tower model, the observer’s eye height is h = 1.8 m and the angle of depression β = 30°. What is the horizontal distance l?

Show answer

1.8√3 m

1) Use l = h cotβ. 2) For β = 30°, cot30° = √3. 3) So l = 1.8 × √3. 4) Therefore l = 1.8√3 m.

2multiple choice
3 marks

For the medicine production LPP, the feasible region has vertices O(0,0), P(20000,0), Q(20000,6000), R(10500,34500), S(5000,40000), and T(0,40000). What is the maximum value of Z = 8x + 7y?

Show answer

₹325500

1) Evaluate Z at each vertex. 2) At R(10500,34500), Z = 8(10500) + 7(34500). 3) 8(10500) = 84000 and 7(34500) = 241500. 4) Sum = 325500. 5) This is the maximum value.

3multiple choice
3 marks

A company has cost model C = a + bx with a = ₹5000 and b = ₹12 per unit, and income model I = sx with s = ₹20 per unit. What is the profit when x = 2500 units are sold?

Show answer

₹15000

1) Use P = (s - b)x - a. 2) Here s - b = 20 - 12 = 8. 3) Multiply: 8 × 2500 = 20000. 4) Subtract fixed cost: 20000 - 5000 = 15000. 5) Profit = ₹15000.

4multiple choice
3 marks

In the brine model, y(t) = 200 + 50e^{-t/40}. What is the salt amount after 40 minutes?

Show answer

200 + 50/e kg

1) Substitute t = 40 into y(t) = 200 + 50e^{-t/40}. 2) Then exponent becomes -40/40 = -1. 3) So y(40) = 200 + 50e^{-1}. 4) This is 200 + 50/e kg.

+60 more questions on Appendix 2: Mathematical Modelling (Madhya Pradesh Board Class 12 Mathematics)

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What are the important topics in Appendix 2: Mathematical Modelling for Madhya Pradesh Board Class 12 Mathematics?
Key topics in Appendix 2: Mathematical Modelling include Meaning and Principles of Mathematical Modelling, Five Steps of Mathematical Modelling, Tower Height Model, Matrix Model for Purchase Orders and Raw Materials. Study these first, then practise questions on each for the Madhya Pradesh Board Class 12 board exam.
How many important questions are there in Appendix 2: Mathematical Modelling?
Super Tutor has 64 practice questions for Appendix 2: Mathematical Modelling, including multiple choice, multiple correct questions. A sample with answers is on this page.

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Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

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All Madhya Pradesh Board Class 12 Mathematics Important Questions

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