Board Paper of Class 10 2009 Maths (SET 3)  Solutions
1. All questions are compulsory.
2. The question paper consists of 30 questions divided into four sections – A, B, C and D. Section A comprises of ten questions of 1 mark each, Section B comprises of five questions of 2marks each, Section C comprises of ten questions of 3 marks each and Section D comprises of five questions of 6marks 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.
There is no overall choice. However, an internal choice has been provided in one question of 2 marks each, three questions of 3 marks each and two questions of 6 marks each. You have to attempt only one of the alternatives in all such questions.
4. In question on construction, the drawing should be neat and as per the given measurements.
5. Use of calculators is not permitted.
 Question 1
If, then find the value of (2cot^{2}θ + 2).
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 Question 2
For what value of p, (−4) is a zero of the polynomial x^{2} − 2x − (7p + 3)?
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 Question 3
Write the median class of the following distribution:
Classes Frequency
0−10 4
10−20 4
20−30 8
30−40 10
40−50 12
50−60 8
60−70 4
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 Question 4
Find the value of a so that the point (3, a) lies on the line represented by
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2x − 3y = 5.
 Question 5
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.
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 Question 6
Find the distance between the points and.
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 Question 7
The decimal expansion of the rational number will terminate after how many places of decimals?
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 Question 8
For what value of p, are 2p − 1, 7 and 3p three consecutives terms of an A.P.?
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 Question 9
In Fig. 1, 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.
Fig. 1
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 Question 10
In Fig. 2, ∠M = ∠N = 46°. Express x in terms of a, b and c where a, b and c are lengths, of LM, MN and NK respectively.
Fig. 2
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