Half Yearly Examination 2012 - CBSEGuess



Sample Paper – 2013

Class – XI

Subject – Mathematics

(Sets, Relation and function, Trigonometry, Statistics, Mathematical Induction, Sequence and Series, Linear inequations)

Time: 3hrs Maximum Marks: 100

GENERAL INSTRUCTIONS:-

1. All questions are compulsory.

2. The question paper consists of 29 questions divided into three sections A,B and C. Section – A comprises of 10 question of 1 mark each. Section – B comprises of 12 questions of 4 marks each and Section – C comprises of 7 questions of 6 marks each.

3. Question numbers 1 to 10 in Sections – A are very short questions where you are to select one correct option out of the given four.

4. There is no overall choice. However, internal choice has been provided in 4 question of four marks and 2 questions of six marks each. You have to attempt only one lf the alternatives in all such questions.

5. Use of calculator is not permitted.

Section A

1. The angles of a quadrilateral are in AP whose common difference is 10o. Find the angles.

2. Prove that: cos510ocos330o+sin390ocos120o= -1

3. In a circle of diameter 40 cm the length of a chord is 20cm. find the length of the minor arc corresponding to the chord.

4. Find the domain of f(x) =1/x+2

5. Let f: R-{2} →R be defined by f(x) =x2-4/x-2 and g: R →R be defined by g(x) =x+2. Find whether f=g or not.

6. If A= {1, 2}, form the set AxAxA.

7. If A={x: x=2n+1, n€Z} and B={x: x=2n, n € Z}, then find AUB=?

8. Prove that AUA=A.

9. Solve the inequations -3x+12 ................
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