Practice Test

Q1) If a, b and c are sides of a triangle, then Show Answer

Q2) If the angles of a triangle are in the ratio 4 : 1 : 1, then the ratio of the longest side to the perimeter is Show Answer

Q3) 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 Show Answer

Q4) The inradius of the triangle whose sides are 3,5,6 is Show Answer

Q5) If the sides of triangle are in the ratio 3 : 7 : 8 then R : r is equal to Show Answer

Q6) In an equilateral triangle, the ratio of the inradius, circumradius and exradius are Show Answer

Q7) 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 Show Answer

Q8) 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 Show Answer

Q9) 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 Show Answer

Q10) 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 Show Answer

Q11) 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 Show Answer

Q12) 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 Show Answer

Q13) The area of a regular polygon of n sides is ( where, r is inradius, R is circumradius and a is side of the triangle ) Show Answer

Q14) Circumradius R is equal to Show Answer

Q15) Inradius is equal to Show Answer

Q16) Difference between the greatest and the least angle is Show Answer

Q17) 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 Show Answer