Small Quiz

3

QUESTION 1

In a ?ABC, ∠A + ∠B = 75° and ∠B + ∠C = 140°, then ∠B is

40°
 

35°
 

 50°
 

 45°

QUESTION 2

?ABC is similar to ?DEF is area of ?ABC is 9 sq.cm. and area of ?DEF is 16 sq.cm. and BC = 2.1 cm. Then the length of EF will be

 5.6 cm
 

2.8 cm
 

3.7 cm
 

 1.4 cm

QUESTION 3

 A chord of a circle is equal to its radius. The angle subtended by this chord at a point on the circumference is

 80°
 

90°
 

 60°
 

30°

QUESTION 4

Let two chords AB and AC of the larger circle touch the smaller circle having the same centre at X and Y. Then XY =?

 BC
 

1/2 BC

1/3 BC
 

1/4 BC

QUESTION 5

 Let G be the centroid of the equilateral triangle ABC of perimeter 24 cm. Then the length of AG is 

2√3 cm
 

3√3 cm
 

 8/√3 cm
 

4√3 cm

QUESTION 6

A and B are the centres of two circles with radii 11 cm and 6 cm respectively. A common tangent touches these circles at O & D respectively. If AB = 13 cm, then the length of OD is

 13 cm
 

 17 cm
 

 8.5 cm
 

12 cm

QUESTION 7

 ABC is an isosceles triangle inscribed in a circle. If AB = AC = 12√5 and BC = 24 cm then radius of circle is

 10 cm
 

15 cm
 

 12 cm
 

14 cm

QUESTION 8

ABC is an isosceles triangle where AB = AC which is circumscribed about a circle. If P is the point where the circle touches the side BC, then which of the following is true?

BP = PC
 

BP > PC
 

BP < PC
 

 BP = 1/2 PC

QUESTION 9

 If D and E are the midpoints of AB and AC respectively of ?ABC, then the ratio of the areas of ?ADE and BCED is?

 1 : 2
 

2 : 3
 

 1 : 4
 

1 : 3

QUESTION 10

O is the circumcenter of the isosceles ?ABC. Given that AB = AC = 17 cm and BC = 6 cm, the radius of the circle is

 3.015 cm
 

 3.205 cm
 

3.025 cm
 

 3.125 cm