Answer the following Qu estions. [Each carries

1 mark] Section B

• Answer the followin

g Qu

estions. [Each carries

2 mark

s

]

317

3125 is from of .

(A) Terminating decimal (B) Non - terminating decimal

(C) Repeating decimal (D) Integer

The graph of the equations 5

x – 3y + 9 = 0 and 10x – 6y + 18 = 0 represents lines.

(A) parrallel (B) Perpendicular (C) Coincident (D) Intersecting The distance between the points (2, –3) and (5, a) is 5 units. Then a = .

2 cos 30

´ sin 30 = sin

q then

q = .

(A) 60° (B) 45° (C) 30° (D) 90°

A tangent at a point P on the O (0, 5) is drawn A line through O intersects the tangent PQ at a point

Q. If OQ = 12 cm then the length of PQ = .

(A) 12 cm (B) 13 cm (C) 8.5 cm (D) 119 cm

Area of the sector of the circle of radius

r unit and length of arc of one unit is .

(A)

2

360

p q r

(B)

12

´ Base

´ Altitude (C)

12

r (D)

2

180

p q r

If

a = 2 and

d = 4 then find S20 = ?

(A) 600 (B) 800 (C) 78 (D) 80

Out of the following equations, which is a quadratic equation ?

(A) x +

1x

=

x

2

(B)

x

2

+

21x

= 2 (C)

x

2

+

1x

= 3 (D)

x +

1x

= 3

3) On comparing the ratios , and a b c a b c 1 1 1 2 2 2

find out whether the lines representing the following pairs

of linear equations intersect at a point are parallel or coincident. 3

x + 4y – 10 = 0, 3

x + 4y – 15 = 0

If TP and TQ are the two tangents to a circle with centre O so that

ÐPOQ = 110°. Then

ÐPTQ is equal

to .

(A) 60° (B) 70° (C) 80° (D) 90°

There is a circular path around a sports field. Sonia takes 18 minutes to drive one round of the field,

while Ravi takes 12 minutes for the same. Suppose they both start at the same point and at the same

time and go in the same direction. After how many minutes will they meet again at the starting point ?

2) Find a quadratic polynomial each with the given numbers as the sum and product of its zeroes

respectively :

,

1

2

3

The angle of elevation of the top of a tower from a point on the ground, which is 30 m away from

the foot of the tower is 30°. Find the height of the tower.

3) Solve the following pair of linear equations by the substitution method : 3

x –

y = 3 (i)

9

x – 3y = 9 (ii)​