Board Paper of Class 10 2009 Maths (SET 2)  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
Find the [HCF × LCM] for the numbers 105 and 120.
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 Question 2
Find the number of solutions of the following pair of linear equations:
x + 2y − 8 = 0
2x + 4y = 16
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 Question 3
If, a, and 2 are three consecutive terms of an A.P., then find the value of a.
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 Question 4
Two coins are tossed simultaneously. Find the probability of getting exactly one head.
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 Question 5
In figure 1, ΔABC is circumscribing a circle. Find the length of BC.
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 Question 6
If the diameter of a semicircular protractor is 14 cm, then find its perimeter.
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 Question 7
If 1 is a zero of the polynomial p(x) = ax^{2} − 3(a − 1) x − 1, then find the value of a.
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 Question 8
In ΔLMN, ∠L = 50° and ∠N = 60°. If ΔLMN ∼ ΔPQR, then find ∠Q.
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 Question 9
If sec^{2}θ (1 + sin θ) (1 − sin θ) = k, then find the value of k.
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 Question 10
Find the discriminant of the quadratic equation
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