# sample paper

Time : 3 Hrs. M.M. : 80

1. If 1 is a root of the equation ay2 + ay + 3 = 0 and y2 + y + b = 0, then ab equals : (a) 3 (b) (c) 6 (d) 3

2. The sum of first 20 odd natural numbers is :

(a) 100 (b) 210 (c) 400 (d) 420

3. In fig., the sides AB, BC and CA of a triangle ABC, touch a circle at P, Q and R respectively. If PA = 4 cm, BP = 3 cm and AC = 11 cm, then the length of BC (in cm) is :

(a) 11

(b) 10

(c) 14

(d) 15

4. In fig., a circle touches the side DF of EDF at H and touches ED and EF produced at K and M respectively. If EK = 9 cm, then the perimeter of EDF (in cm) is : (a) 18

(b) 13.5

(c) 12

(d) 9

5. If the radius of the base of a right circular cylinder is halved, keeping the height the same, then the ratio of the volume of the cylinder thus obtained to the volume of original cylinder is : (a) 1 : 2 (b) 2 : 1 (c) 1 : 4 (d) 4 : 1

6. If the area of the circle is equal to sum of the areas of two circles of diameters 10 cm and 24 cm, then the diameter of the larger circle (in cm) is : (a) 34 (b) 26 (c) 17 (d) 14.

7. The length of shadow of a tower on the plane ground is times the height of the tower. The angle of elevation of sun is : (a) 45 (b) 30(c) 60 (d) 90.

8. If the coordinates of one end of a diameter of a circle are (2, 3) and the coordinates of its centre are (2, 5), then the coordinates of the other end of the diameter are : (a) (6, 7) (b) (6, 7)

(c) (6, 7) (d) (6, 7).

9. The coordinates of the point P dividing the line segment joining the points A(1, 3) and B(4, 6) in the ratio 2 : 1 are : (a) (2, 4) (b) (3, 5)

(c) (4, 2) (d) (5, 3).

10. Two dice are thrown together. The probability of getting the same number on both dice is : (a) (b) (c) (d) .

11. Find the value (s) of k so that the quadratic equation x2 –4kx + k = 0...

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