**CBSE Previous Year Solved Papers Class 12 Maths Delhi 2013**

**Time allowed: 3 hours Maximum Marks : 100 **

**General Instructions:**

**All questions are compulsory.****Please check that this question paper contains 26 questions.****Questions 1-6 in Section A are very short-answer type questions carrying 1 mark each.****Questions 7-19 in Section B are long-answer I type questions carrying 4 marks each.****Questions 20-26 in Section C are long-answer II type questions carrying 6 marks each.****Please write down the serial number of the question before attempting it.**

**SET I**

**Note: Except for the following questions, All the remaining question s have been asked in previous set.**

**SECTION – A**

**SECTION – B**

**22. A speaks truth in 60% of the cases, while B in 90% of the cases. In what percent of cases are they likely to contradict each other in stating the same fact ? In the cases of contradiction do you think, the statement of B will carry more weight as he speaks truth in more number of cases then A ?**

**SECTION – C**

**23. A school wants to award its students for the values of Honesty, Regularity and Hard work with a total cash award of Rs 6,000. Three times the award money for Hard work added to that given for honesty amounts to Rs 11,000. The award money given for Honesty and Hard work together is double the one given for Regularity. Represent the above situation algebraically and find the . award money for each value, using matrix method. Apart from these values namely, Honesty, Regularity and Hard work, suggest one more value which the school must include for awards. [6]**

**28. A cooperative society of farmers has 50 hectares of land to grow two crops A and B. The profits from crops A and B per hectare are estimated as Rs 10,500 and Rs 9,000 respectively. To control weeds, a liquid herbicide has to be used for crops A and B at the rate of 20 litres and 10 litres per hectare, respectively. Further not more than 800 litres of herbicide should be used in order to protect fish and wildlife using a pond which collects drainage from this land. Keeping in mind that the protection of fish and other wildlife is more important than earning profit, how much land should be allocated to each crop so as to maximize the total profit ? Form an LPP from the above and solve it graphically. Do you agree with the message that the protection of wildlife is utmost necessary to preserve the balance in environment ? [6]**

**29. Assume that the chances of a patient having a heart attack is 40%. Assuming that a meditation and yoga course reduces the risk of heart attack by 30% and prescription of certain drug reduces its chance by 25%. At a time a patient can choose any one of the two options with equal possibilities. It is given that after going through one of the two options, the patient selected at random suffers a heart attack. Find the probability that the patient followed a course of meditation and yoga. Interpret the result and state which of the above stated methods is more beneficial for the patient. [6]**

**SET II**

**Note: Except for the following questions, All the remaining questions have been asked in previous Sets.**

**SECTION – A**

**SECTION – B**

**16. P speaks truth in 70% of the cases and Q in 30% of the cases. In what per cent of cases are they likely to agree in stating the same fact ? Do you think, when they agree, means both are speaking truth?**

**SECTION – C**

**SET III**

**Note: Except for the following questions, All the remaining questions have been asked in previous Sets.**

**SECTION – A**

**SECTION – B**

**11. A speaks truth in 75% of the cases, while B in 90% of the cases. In what percent of cases are the likely to contradict each other in stating the same fact ? Do you think that statement of B is true ?**

**SECTION – C**

**25. Find the coordinates of the point where the line through (3, – 4, – 5) and (2, – 3,1) crosses the plane, passing through the points (2, 2, 1), (3, 0, 1) and (4,-1,0). [6]**

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