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CBSE Class 10 - Maths

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CBSE X
SET - II
MATHEMATICS PAPER 2009.

Time allowed: 3 hours; Maximum Marks: 80

General Instructions:
1)  All questions are compulsory.
2) The question paper consists of thirty questions divided into 4 sections A, B, C and D. Section A comprises of ten questions of 01 mark each, Section B comprises of five questions of 02 marks each, Section C comprises ten questions of 03 marks each and Section D comprises of five questions of 06 marks 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.
4)  There is no overall choice. However, internal choice has been provided in one question of 02 marks each, three questions of 03 marks each and two questions of 06 marks each. You have to attempt only one of the alternatives in all such questions.
5)  In question on construction, drawing should be near and exactly as per the given measurements.
6) Use of calculators is not permitted.
SECTION B

Question number 11 to 15 carry 2 mark each.

Question11

11.Without drawing the graph, find out whether the lines representing the following pair of linear equations intersect at a point, are parallel or coincident:

Question12

12.The 17th term of an A.P. exceeds its 10th term by 7. Find the common difference.

Question13

13. Without using trigonometric tables, evaluate:

Question14

14. Show that the points (-2, 5); (3, -4) and (7, 10) are the vertices of a right angled isosceles triangle.

OR

The centre of a circle is (2α - 1, 7) and it passes through the point (-3, -1). If the diameter of the circle is 20 units, then find the values(s) of α.

Question15

15.If C is a point lying on the line segment AB joining A (1, 1) and B (2, -3) such that 3AC = CB, then find the coordinates of C.

Section A Section B Section C Section D
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