Download CBSE Guess Paper Mathematics Class X (10th) 2009

Guess Paper – 2009

Class – X

Subject – MATHEMATICS (Set-1)

Time: 3 hrs                                                         Marks: 80

General Instructions: (I)All questions are compulsory. (II)The question paper is of 30 questions divided into four sections –A, B, C and D. Section A contains10 questions of 1 marks each. Section B is of 5 questions  of 2 marks  each ,  section  C is  of  10 questions of 3 marks each and Section D is of 5questions of 6 marks. (III)There is no overall choice. (IV)In question on construction, the drawing should be neat and exactly as per the   given measurements. (V)Use of calculator is not permitted. (VI)No credit will be given for cutting, scribbling in section A

(SECTION –A) 1. is a/an ___________________ number.

2. If are zeros of a cubic polynomial f(x) = ax3 + bx2 + cx + d then abg is equal to?

3. System of equations ax + by = c; lx + my = n, If am ? bl then what kind of solution the system has? _____________________

4. If the equation 9x2 + 6kx + 4 =0 has equal roots, then roots are both equal to                      (a) ± 2/3     (b) ± 3/2     (c) 0         (d) ± 3

5. The sum of all odd integers between 2 and 100 divisible by 3 is                                   (a) 867     (b) 687     (c) 786     (d) none

6. If 2sin2?= ?3, the value of ? is

(a) 0                  (b) 30o         (c) 45o            (d) 60o

7. If x = acos? and y = bsin?, then b2x2 + a2y2 =

(a) a2b2     (b) ab         (c) a4b4                     (d) a2+ b2

8. The distance  between the points (cos?, sin?) and (sin?, -cos?) is                                  (a) ?3     (b) ?2         (c) 2            (d)  1

9. A vertical stick 20m long casts a shadow 10m long on the ground. At the same time a tower casts a shadow 50m long on the ground. The height of the tower is

(a) 100m     (b)120m     (c) 25m       (d) 200m

10. From a point Q, the length of the tangent to a circle is 24cm and the distance of Q from the centre is 25cm. The radius of the circle is                             (a) 7cm     (b) 12cm     (c) 15cm       (d) 24.5cm

(SECTION –B)

11. Two tangent segments PA and PB are drawn to a circle with centre O such that ÐAPB = 120o.Prove that OP = 2AP

12. Any point ‘X’ inside ? DEF is joined to its vertices. From a point ‘P’ in DX, PQ is drawn parallel to DE meeting XE at ‘Q’ and QR is drawn parallel to EF meeting XF in R. Prove that PR//DF.

13. Prove = secq + tanq

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