Board Paper of Class 10 2010 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 the sum of first p terms of an Α.P., is ap2 + bp, find its common difference.
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- Question 2
In fig. 1, S and T are points on the sides PQ and PR, respectively of ΔPQR, such that PT = 2 cm, TR = 4 cm and ST is parallel to QR. Find the ratio of the areas of ΔPST and ΔPQR.
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- Question 3
In the given figure, ΔAHK is similar to ΔABC. If AK = 10 cm, BC = 3.5 cm and HK = 7 cm, find AC.
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- Question 4
If α, β are the zeroes of a polynomial, such that α + β = 6 and αβ = 4, then write the polynomial.
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- Question 5
Has the rational numbera terminating or a non-terminating decimal representation?
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- Question 6
If cosec θ = 2x and cot θ, find the value of
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- Question 7
A card is drawn at random from a well shuffled pack of 52 playing cards. Find the probability of getting a red face card.
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- Question 8
The slant height of a frustum of a cone is 4 cm and the perimeters (circumferences) of its circular ends are 18 cm and 6 cm. Find the curved surface area of the frustum.
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- Question 9
If A(1, 2), B(4, 3) and C(6, 6) are the three vertices of a parallelogram ABCD, find the coordinates of the fourth vertex D.
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- Question 10
If P(2, p) is the mid-point of the line segment joining the points A(6, − 5) and B(− 2, 11), find the value of p.
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