CBSE Important Questions

Mathmatics Class X

General Instructions:

  1. All questions are compulsory. There are three sections A, B, C and D in the question paper. 

  2. Section A: Q. Nos. 1 to 8 carry 1 mark each.
    Section B: Q. Nos.9 to 14 carry 2 marks each.
    Section C: Q. Nos. 15 to 24 carry 3 mark each.
    Section D: Q. Nos. 25 to 34 carry 4 mark each.

  3. There is no overall choice, however internal choices has been provided in one question of 2 marks, three questions of 3 marks and 2 questions of 4 marks. You have to attempt only one of the alternatives in all such questions.

SECTION : A

1. If the equation x2 + 8x + k = 0 has real and distinct roots, then the value of 'k' is

    (a) K > 16
    (b) k ≥ 16
    (c) k ≤ 16
    (d) none of these

2.The probability of an impossible event is

    (a)0
    (b) 1
    (c) 2
    (d) none of these

3.If the sector of a circle of diameter 10 cm subtends an angle of 1440 at the centre then the length of the arc of the sector is

    (a) 2π
    (b) 8π
    (c) 4π
    (d) none of these

4.If the volume of a cube is 216 cubic m its edge is

    (a) 4 cm
    (b)6 cm
    (c) 9 cm
    (d) none of these

5.If the perimeter and the area of a circle are numerically equal, then the radius of the circle is

    (a)π units
    (b) 12 units
    (c) 8 units
    (d) none of these

6.A card is drawn from a well shuffled deck of 52 playing cards. The probability that it is not a face card is

    (a) 14/52
    (b) 16/13
    (c) 12/52
    (d) none of these

7.The distance between the points (2,3), (4,1) is

    (a)14√2
    (b) 12√4
    (c) 3√2
    (d) none of these

8.Volume of two spheres are in the ratio 125 : 27, the ratio of their radii are

    (a) 5: 3
    (b) 3: 5
    (c) 1: 11
    (d) none of these

SECTION : B

9. Find the roots of the quadratic equation x2 - 3x - 10 = 0

10. Find the value of 'k' for the equation 2x2 + k x + 3 = 0, so that it has two equal roots.

11. The angle of elevation of the top of a tower, at a distance of 150 m from its foot on a horizontal plane, is found to be 600. Find the height of the tower.

12. Find the centroid of triangle PQR, whose vertices are P (-3, 0), Q (5, -2), R (-8, 5).

OR

Find the coordinates of point which divides the line segment joining the points (-1, 7) and (4, -3) in the ratio 2: 3.

13. A drinking glass is in the shape of a frustum of height 14 cm. The diameters of its two circular ends are 4 cm and 2 cm. Find the capacity of the glass.

14. Prove that, the lengths drawn from an external point to a circle are equal.

 

Submitted By: Mr. Hemant Kumar
Delhi Public School , Mathura Refinery Nagar, Mathura
Email Id: [email protected]