Practice Test


1) In a right angled triangle, the hypotenuse is 4 times the altitude from the opposite vertex. Then one of the acute angles of the triangle is ...


2) If the lengths of the sides of a triangle are 3, 5, and 7, then the measure of greatest angle is


3) The measures of co-terminal angles differ by an integral multiple of


4) The radian measure of the angle, subtended at the centre of a circle by an arc whose length is twice the diameter of the circle, is


5) If the perimeter of a sector of a circle is twice the diameter of the circle, then the radian measure of the angle of the sector is


6) A wire in the form of a rectangle of sides 4 cm and 6 cm is reshaped into a sector of a circle of radius 8 cm. Then the angle of the sector in degrees is


7) Which of the following number is rational ?


8) Which of the following is not correct ?


9) which of the following is correct ?


10) The sum of the radii of inscribed and circumscribed
circles for an n– sided regular polygon of side 'a'
is :


11) The angles of a triangle are in the ratio 4 : 1 :1,
then the ratio of the largest side to the perimeter
is :


12) If a, b, c are sides opposite to the angles A, B, C,
then which of the following is correct?


13) A triangular park is enclosed on two sides by a
fence and on the third side of straight river bank.
The two sides having fence of same length x. The
maximum area enclosed by the park is :


14) The circular wire of diameter 10 cm is cut and placed along the circumference of a circle of diameter 1 m.
The angle subtended by the wire at the center of the circle is equal to


15) In a right-angled triangle if the sides are in A.P., then their ratio is


16) If the ex-radii of a triangle are in H.P., then the corresponding sides are in


17) Which of the following relations is possible?


18) The angle of a right angled triangle are in A.P. The ratio of the in-radius and the perimeter is


19) Which one of the following equations has no solution?


20) If the angles of a triangle are in the ratio 1 : 2 : 3, the corresponding sides are in the ratio


21) If the angles of a triangle are in the ratio 1 : 2 : 7, then the ratio of the greatest side to the least side is


22) In a triangle the angles are in A.P. and the lengths of the two larger sides are 10 and 9 respectively, then the length of the third side can be


23) In a triangle the length of the two larger sides are 24 and 22, respectively. If the angles are in AP, then the
third side is