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CBSE X
Delhi
MATHS PAPER 2009

Time allowed: 180 minutes; Maximum Marks: 90

 General Instructions: 1) All questions are compulsory. 2) The question paper consists of thirty questions divided into 4 sections A, B, C and D. Section A comprises of ten questions of 01 mark each, Section B comprises of five questions of 02 marks each, Section C comprises ten questions of 03 marks each and Section D comprises of five questions of 06 marks each. 3) All questions in Section A are to be answered in one word, one sentence or as per the exact requirement of the question. 4) There is no overall choice. However, internal choice has been provided in one question of 02 marks each, three questions of 03 marks each and two questions of 06 marks each. You have to attempt only one of the alternatives in all such questions. 5) In question on construction, drawing should be near and exactly as per the given measurements. 6) Use of calculators is not permitted.
SECTION A

### Question 1

1. The decimal expansion of the rational number $\frac{43}{{2}^{4}{5}^{3}}$ will terminate after how many places of decimals?

### Question 2

2. For what value of k , âˆ’4 is a zero of the polynomial${x}^{2}$ âˆ’ x âˆ’ (2k + 2)?

### Question 3

3. For what value of p, 2p âˆ’ 1, 7 and 3p are three consecutive terms of an A.P.?

### Question 4

4. In the figure CP and CQ are tangents to a circle with centre O. ARB is another tangent touching the circle at R. If CP = 11 cm, and BC = 7 cm, then find the length of BR.

### Question 5

5. In Fig. 2, âˆ M = âˆ N = 46Â°. Express x in terms of a, b and c where a, b and c are lengths, of LM, MN and NK respectively.

### Question 6

6. If sin Î¸ =$\frac{1}{3}$ , then find the value of (2${\mathrm{cot}}^{2}$Î¸ + 2).

### Question 7

7. Find the value of a so that the point (3, a) lies on the line represented by 2x âˆ’ 3y = 5.

### Question 8

8. A cylinder and a cone are of same base radius and of same height. Find the ratio of the volume of cylinder to that of the cone.

### Question 9

9. Find the distance between the points (-$\frac{8}{5}$, 2) and ($\frac{2}{5}$, 2).

### Question 10

10. Write the median class of the following distribution :

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