Board Paper of Class 10 2010 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 on simplification gives a rational or an irrational number.
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 Question 2
If α, β are the zeroes of the polynomial 2y^{2} + 7y + 5, write the value of α + β+ αβ.
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 Question 3
If the sum of the first q terms of an A.P. is 2q + 3q^{2}, what is its common difference?
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 Question 4
In figure 1, CP and CQ are tangents from an external point C to a circle with O. AB are another tangent which touches the circle at R. If CP =11 cm and BR = 4 cm, find the length of BC.
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 Question 5
In Figure 2, DEBC in ΔABC such that BC = 8 cm, AB = 6 cm and DA = 1.5. Find DE.
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 Question 6
If and , find the value of .
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 Question 7
What is the distance between the points A(c, 0) and B(0, −c)?
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 Question 8
In ΔABC, rightangled at C, AC = 6 cm and AB = 12 cm. Find ∠A.
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 Question 9
The slant height of the frustum of a cone is 5 cm. If the difference the radii of its two circular ends is 4 cm, write the height of the frustum.
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 Question 10
A die is thrown once. What is the probability of getting a number greater than 4?
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