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CBSE Sample Papers for Class 12 Maths @myboat354 boatplans For Class 12 students, solving the CBSE Class 12 sample question papers should be on the priority list once they are done with the revision. They can give a finishing touch to their preparation by practising CBSE sample papers regularly. 3,0 12 Therefore, the maximum value of Z = 4x + 5y is at (0, 4). 3. Solution: Multiplying the matrices and comparing with rest | 3 +7 +5 ?3 +9 3 ? +3 |=| 7 8 5 | After equating the matrices we get (?3 +9=8) (3 ? +3=5) After equating the equation, we find the value of z and y: 3(?3 +9=8) 1(3 ? +3=5). The feasible region Byjus Class 12 Maths Sample Paper Inc can be obtained from the given constraints as follows: The points A (5,0), B(4,3) and (0,5) are observed to be the corner points of the feasible region. Thus the value of Z for each of the corner point is as follows: (w, r): = u(w)+ t(r)= s w (v, u): = .
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Let A be event that the sum of observations is 8. Using properties of determinants, prove that: [4] Solution:. Solution: Given function is. An open tank with a square base and vertical sides is to be constructed from a metal sheet so as to hold a given quantity of water.

Show that the cost of material will be least when depth of the tank is half of its width. If the cost is to be borne by nearby settled lower income families, for whom water will be provided, what kind of value is hidden in this question? Value : Any relevant value.

Find: [4] Solution:. Suppose a girl throws a die. If she gets 1 or 2, she tosses a coin three times and notes the number of tails. Let A be the event that she gets exactly one tail.

Two numbers are selected at random without replacement from the first five positive integers. Let X denote the larger of the two numbers obtained. Find the mean and variance of X. Out of these, two numbers are selected at random. Let X denote larger of the two selected numbers. Then, X can have values 2, 3, 4 or 5. Find the set of all elements related to 1. Also write the equivalence class [2].

Equivalence class of 2 i. A factory manufactures two types of screws A and B, each type requiring the use of two machines, an automatic and a hand-operated.

Each machine is available for at most 4 hours on any day. Assuming that he can sell all the screws he manufactures, how many packets of each type should the factory owner produce in a day in order to maximize his profit? The question paper consists of 29 questions divided into four sections A, B, C and D.

Section A comprises of 4 questions of one mark each, Section B comprises of 8 questions of two marks each, Section C comprises of 11 questions of four marks each and Section D comprises of 6 questions of six marks each. All questions in Section A are to be answered in one word, one sentence or as per the exact requirement of the question. There is no overall choice. Section I comprises of 16 very short answer type questions.

Section II contains 2 case studies. Each case study comprises of 5 case-based MCQs. An examinee is to attempt any 4 out of 5 MCQs. Part � B:. Section III comprises of 10 questions of 2 marks each.

Section IV comprises of 7 questions of 3 marks each. Section V comprises of 3 questions of 5 marks each. You have to attempt only one of the alternatives in all such questions. Part � A. Section I. All questions are compulsory. In case of internal choices attempt any one. Which element s of relation R be removed to make R an equivalence relation?

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