Practice Test

1) If a, b and c are sides of a triangle, then

2) If the angles of a triangle are in the ratio 4 : 1 : 1, then the ratio of the longest side to the perimeter is

3) In a triangle, the lengths of the two larger sides are 10 cm and 9 cm, respectively. If the angles of the triangles are in AP, then the length of the third side in cm can be

4) The inradius of the triangle whose sides are 3,5,6 is

5) If the sides of triangle are in the ratio 3 : 7 : 8 then R : r is equal to

6) In an equilateral triangle, the ratio of the inradius, circumradius and exradius are

7) A house of height 100 m subtends a right angle at the window of an opposite house. If the height of the window be 64 m, then the distance between the two houses is

8) The top of a hill observed from the top and bottom of a building h is at angles of elevation p and q, respectively. The height of hill is

9) A flag staff of 5 m high stands on a building of 25 m high. At an observer at a height of 30 m, the flag staff and the building subtend equal angles. The distance of the observer from the top of the flag staff is

10) The area of the circle and the area of a regular polygon of n sides and of perimeter equal to that of the circle are in the ratio of

11) In a cubical hall ABCDPQRS with each side 10 m, G is the centre of the wall BCRQ and T is the mid-point of the side AB. The angle of elevation of G at the point T is

12) Two vertical poles 20 m and 80 m stands apart on a horizontal plane. The height of the point of intersection of the lines joining the top of each pole to the foot of the other is

13) The area of a regular polygon of n sides is ( where, r is inradius, R is circumradius and a is side of the triangle )

14) Circumradius R is equal to

15) Inradius is equal to

16) Difference between the greatest and the least angle is

17) For a regular polygon, let r and R be the radii of the inscribed and the circumscribed circles. A false statement among the following is