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Class 12 Exam 2017 : Mathematics (DAV Public School, Sahibabad)

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Elligibility Test June - 2016 SET A Mathemaitcs Time 3 hrs. Class XII Full Marks 100 The question paper consists of 26questions divided into three sections A, B and C. Section A comprises of 6 questions of 1 mark each Section B comprises of 13 questions of 4 marks each and section C comprises of 7 questions of 6 marks each. SECTION A 1 2 3 4 5 6 Write a skew matrix of order 3 x 3. If A is a 3 3 matrix |3A| = k|A|, then write the value of k. The total revenue in rupees received from the sale of x units of a product is R(x) = 3x2 + 36x + 5.Find the marginal revenue when x = 15. The probability that a person is not a swimmer is 0.3.Find the probability that out of 5 persons 4 are swimmer. The corner points of feasible region are (0,10),(5,5),(15,15)and (0,20). Find the condition so that objective function z = px + qy,( p& q >0) is maximum at (15,15)and (0,20). Give an example of a function which is continuous but not differentiable. SECTION B 7. To raise money for an orphanage, students of three schools A, B and C organized an exhibition in their locality, where they sold paper bags, scrap-books and pastel sheets made by them using recycled paper, at the rate of Rs. 20, Rs. 15 and Rs. 5 per unit respectively. School A sold 25 paper bags, 12 scrap-books and 34 pastel sheets. School B sold 22 paper bags , 15 scrap-books and 28 pastel sheets. While school C sold 26 paper bags, 18 scrap-books and 36 pastel sheets. Using matrices, find the total amount raised by each school. By such exhibition, which values are inculcated in the students? 2 8. Find d y d x2 at t = 4 if y = a cos t and x = b sin t. OR Differentiate with respect to sin x . 9. 10. If X [ ] 1 2 3 4 5 6 = [ ] 7 8 9 2 4 6 , then find the matrix X OR If A = [ ] 2 3 1 2 then prove that A2 4A + 7I = 0.Using this result find A5 x sin x

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