Small Quiz

3

QUESTION 1

 ABC is a triangle and P is any point on AB such that ∠ACP = ∠ABC, if AC = 9 cm, CP = 12 cm and BC = 15 cm, then AP is equal to?

4.5 cm

 

 7.2 cm

 

 9.7 cm

 

 10.1 cm

QUESTION 2

The lengths of perpendiculars drawn from any point in the interior of an equilateral triangle with the respective sides are 6cm, 8cm, and 10cm. The length of each side of the triangle is?

20 cm

 

 21 cm

 

16√3 cm

 

23 cm

QUESTION 3

In a right angled ?ABC, ∠ABC = 90°; BN ⊥ AC, AB = 6 cm, AC = 10 cm. Then AN : NC is?

(a) 9 : 16

(b) 6 : 13

(c) 14 :19

(d) 20 : 21

(a) 9 : 16

(b) 6 : 13

(c) 14 :19

(d) 20 : 21

(a) 9 : 16

(b) 6 : 13

(c) 14 :19

(d) 20 : 21

(a) 9 : 16

(b) 6 : 13

(c) 14 :19

(d) 20 : 21

QUESTION 4

In a ?ABC a line DE is drawn parallel to BC. If AD/DB=2/3 then find the ratio of area of ?ADE & Area of DECB ?

4 : 21

 

 21 : 3

 

 21 : 25

 

4 : 19

QUESTION 5

In a ? ABC, D is the midpoint of line BC and E is the midpoint of AD. Then find the ratio of the area of ? BEA and ? ABC ?

7 : 1

 

 6 : 1

 

 5 : 1

 

1 : 4

QUESTION 6

 In a ? ABC, BD and CE are two medians which intersects each other at ‘O’. AO intersect the line ED at M. Find the ratio of AM : MO?

 3 : 1

 

 1 : 5

 

 3 : 8

 

 5 : 8

QUESTION 7

I is the incentre of a triangle ABC. If ∠ACB = 55°, ∠ABC = 65° then the value of ∠BIC is?

130

 

 150

 

 120

 

 110

QUESTION 8

In ? ABC, ∠B = 60° and ∠C = 40°. If AD and AE be respectively the internal bisector of ∠A and perpendicular on BC, then the measure of ∠DAE is ?

 50

 

 10

 

 30

 

40

QUESTION 9

The angle between the external bisectors of two angles of a triangle is 60°. Then the third angle of the triangle is ?

60

 

 70

 

80

 

 90

QUESTION 10

AD is the median of a triangle ABC and O is the centroid such that AO = 10 cm. The length of OD (in cm) is ?

 9 cm

 

 6 cm 

 

 2 cm

 

5 cm