X MATHS SAMPLE PAPER SA II -1

1. Two circles touch each other externally at C and AB is a common tangent to the circles. Then, angle ACB=

(a) 60 ^o (b) 45 ^o (c) 30 ^o (d) 90^o

2. The length of an arc that subtends an angle of 24o at the centre of a circle with 5 cm radius is

(a) 2π /3 (b) 3π / 2 (c) π /3 (d) 5π /3

3. An observer 1.5 m tall is 28.5 m away from a tower. The angle of elevation of the top of the tower from his eyes is 450. The height of the tower is

(a) 10 m (b) 20 m (c) 30 m (d) 40 m

4. The probability that a randomly chosen number from one to twelve is a divisor of twelve is

(a) 1/12 (b) 1/2 (c) 1/4 (d) 1/6

5. The value of x, for which the points (x,-1), (2,1) and (4,5) lie on a line is

(a) 0 (b) 1 (c) 2 (d) 3

6. The ratio in which the point R (-2/7, -20/7) divides the join of P(-2,-2) and Q(2,-4) is