CBSE - Constructions

1 Constructions 

If the length of a median of an equilateral triangle is x cm, then its area is 

1) x² 
2) Ö3x² / 2
3) x² / Ö3
4) x² / 2 

2 Constructions 

 A point O is at a distance  of 10 cm from the  centre  of a circle  of radius 6 cm. How many tangents can be  drawn from point O to the  circle ?

1) 1 
2) 3
3) infinite
4) 2

3 Constructions 

. In the  given figure , triangle  ABC has be enconstructed similar to triangle  A’BC’. What is the scale  factor?

1) 3 / 2 
2) 5 / 4
3) 2 / 3
4) 4 / 3 

4 Constructions 

   If TP and TQ are  two tangents to a circle  with centre  O so that angle  POQ = 110° then angle PTQ is equal to

1) 60° 
2) 80°
3) 70°
4) 90°

5 Constructions 

A square and an equilateral triangle have equal perimeters. If the diagonal of the square is 1272 cm, then area of the triangle is 

1) 24Ö2  cm² 
2) 24Ö3 cm²
3) 48Ö3  cm²
4) 64Ö3  cm²

6 Constructions 

The length of the sides of ∆ABC are consecutive integers. If ∆ABC has the same perimeter as an equilateral triangle with a side of length 9cm, what is the length of the shor test side of ∆ABC? 

1) 8 
2) 6
3) 4
4) 10 

7 Constructions 

  The base of an isosceles right triangle is 30 cm. Its area is

1) 225  cm² 
2) 225Ö3 cm²
3) 225Ö2  cm²
4) 450  cm²

8 Constructions 

  PQ is a tangent to a circle  with centre  O at the point P. If triangle  OPQ is an isosceles triangle , then angle  OQP is equal to
 

1) 30° 
2) 90°
3) 45°
4) 60°

9 Constructions 

To draw a pair of tange nts to a circle  which are  incline d to e ach othe r at an angle  of 45° it is re quire d to draw tange nts at the  e nd point of those  two radii of the  circle , the  angle  be twe e n which is :

1) 105° 
2) 135°
3) 145°
4) 70°

10 Constructions 

 In the  given figure , triangle s ABC and DEF are  similar. The  are a of triangle  ABC is 9 sq. cm and the  are a of triangle  DEF is 16 sq. cm. If BC = 2.1 cm find the  length of EF.

1) 4.9 cm 
2) 6.8 cm
3) 2.8 cm
4) 9.4 cm