Board Paper of Class 10 2009 Maths (SET 1)  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
Write whether the rational number will have a terminating decimal expansion or a nonterminating repeating decimal expansion.
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 Question 2
Write the polynomial, the product and sum of whose zeroes are and respectively.
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 Question 3
Write whether the following pair of linear equations is consistent or not:
x + y = 14
x − y = 4
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 Question 4
Write the nature of roots of quadratic equation
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 Question 5
For what value of k, are the numbers x, 2x + k and 3x + 6 three consecutive terms of an A.P.
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 Question 6
In a ΔABC, DEBC. IF DE = BC and area of ΔABC = 81 cm^{2}, find the area of ΔADE.
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 Question 7
If sec A = and A + B = 90°, find the value of cosec B.
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 Question 8
If the midpoint of the line segment joining the points P (6, b − 2) and Q (−2, 4) is (2, −3), find the value of b.
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 Question 9
The length of the minute hand of a wall clock is 7 cm. How much area does it sweep in 20 minutes?
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 Question 10
What is the lower limit of the modal class of the following frequency distribution?
Age in (years)
0 − 10
10 − 20
20 − 30
30 − 40
40 − 50
50 − 60
Number of patients
16
13
6
11
27
18

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