Maths Sample Question Paper Himachal Pradesh : Plus Two / 12th Std / +2 www.hpeducationboard.nic.in

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Document Described : Maths Question Paper, Himachal Pradesh Question Paper

Himachal Pradesh Board of School Education
MODEL QUESTION PAPERS
Plus Two Examination March 2009
MATHEMATICS
Time : 3 Hrs. Max. Marks 85

Special Instructions :
1. You must write Question Paper Series in the circle at top left side of title page of your answer book.
2. While answering your questions you must indicate on your answer book the same question number as appears in your question paper.
3. Do not leave blank page(s) in your answer book.

http://hpeducationboard.nic.in/ModelQP.htm
http://hpeducationboard.nic.in/plus2_model_paper.pdf

4. Q.No. 1 to 10 multiple choice questions are of 1 mark each. Questions 11 to 14 are of 2 marks each, Q.Nos. 15 to 26 are of 3½ marks each and Q.Nos. 27 to 31 are of 5 marks each.
5. All questions are compulsory.
6. Internal choices have been provided in some questions. You have to attempt only one of the choices in such questions.
7. Use of calculator is not permitted, however, you ask for logarithmic tables, if required from the superintendent of examinations.
8. Try to answer the questions in serial order as far as possible.
Q1. If sin–1 x = y then
(a) 0 ñ y ñ p (b) – ñ y ñ
(c) 0 < y < p (d) – < y <
Q2. A = [aij] m×n is a square matrix if
(a) m < n (b) m > n (c) m = n (d) None
Q6. The order of differential equation
2x2y11 – 3y1 + y = 0 is
(a) 2 (b) 1 (c) 0 (d) not defined
Q13. Find the least value of a such that the function f given by f(x) = x² + ax + 1 is strictly increasing on (1, 2)
Q14. Solve the differential equation:
y' + y = 1
Q15. Find gof and fog if
f(x) = xxxand g(x) = x5x – 2x
Q22. Solve the differential equation:
(tan y – x) dy = (1 + y²) dx
OR
Solve the differential equation
(x² + xy) dy = (x² + y²) dx
Q23. Find the area of a triangle having the points A (1, 1, 1), B(1, 2, 3) and C (2, 3, 1) as its vertices.
Q25. Find the probability distribution of
(i) Number of heads in two tosses of a coin.
(ii) Number of tails in the simultaneous tosses of three coins.
(iii) Number of heads in four tosses of a coin.
Q26. Find the probability of getting 5 exactly twice in 7 throws of a dice
OR
Let E and F be events with P(E) = P(F) = and P(E3F) = . Are E and F independent ?