MCQ Class 11 Maths Chapter 3 Trigonometric Functions

MCQ’s For All Chapters – Maths Class 11th

1. There will be total 20  MCQ in this test.
2. Please keep a pen and paper ready for rough work but keep your books away.
3. The test will consist of only objective type multiple choice questions requiring students to mouse-click their correct choice of the options against the related question number.
4. No negative marking for incorrect choice.
5. Please click on “Finish the Test” when you want to exit.
6. All the best – Happy Studying.

1. Find the angle in radian through which a pendulum swings if its length is 75 cm and the tip describes an arc of length 30 cm.

2.8 radians

2.25 radians

22.5 radians

2.5 radians

Question 1 of 20

2. A pendulum 36 cm long oscillates through an angle of 10 degrees. Find the length of the path described by its extremity.

31.25cm

62.50 cm

3.620 cm

6.280 cm

Question 2 of 20

3. In the fourth quadrant the value of cosine function

Decreases from 0 to -1

Increases from - ∞ to 0.

Decreases from 1 to 0

Increases from 0 to 1

Question 3 of 20

4. A wire of length 15 cm is bent to form an arc of a circle with radius 6 cm. Find in radians the angle subtended at the centre.

2.5 radians

3.5 radians

4 radians

3 radians

Question 4 of 20

5. The degree measure of the radian angle is

300 degrees

275 degrees

225 degrees

105 degrees

Question 5 of 20

6. In the third quadrant the value of the sine function

decreases from 1 to 0

decreases from 0 to -1

increases from 0 to 1

increases from -1 to 0

Question 6 of 20

7. The value of cosx in the second quadrant

increases from 0 to 1

decreases from 0 to -1

decreases from 1 to 0

increases from -1 to 0

Question 7 of 20

8. What is the radius of the circle in which a central angle of 60° intercepts an arc length of 48.4 cm?

2.1

6.6 cm.

46.2

64.2

Question 8 of 20

9. A cyclist travels at the rate of 14.4 km/hr and the radius of the wheel is 35 cm. What is the measure of the angle in radian through which a spoke of the wheel will turn in one second?

41/5 radians

80/7 radians

70/8 radians

40/3 radians

Question 9 of 20

10. What is the approximate value of 1 radian in degree measure?

27°5'

90°

180°

57°16'

Question 10 of 20

11. Convert 135° into radians?

2π/3

3π/4

7π/4

5π/4

Question 11 of 20

12. A train is travelling on a curve of 350 m radius at 7 Km/hr. Through what angle will it turn in one minute?

50 radian

3 radian

1/20 radian

1/3 radian

Question 12 of 20

13. Find the central angle of the circle whose diameter is 20 cm subtended by an arc of length 15.4 cm.

1.54 radian

.154 radian

15.4 radian

0.77 radian

Question 13 of 20

14. Find the length of arc of the circle whose diameter is 14 m and which subtends an angle of 1° at the centre.

14m

0.12m

7m

0.24m

Question 14 of 20

15. What is the angle in degrees swept by the minute hand of a clock between 9.00 a.m. and 9.35 a.m.?

300°

210°

120°

75°

Question 15 of 20

16. What will be the angle in degree if the value of the angle in radians is .

175°

125°

150°

75°

Question 16 of 20

17. A wheel makes 360 revolutions in 1 minute. Through how many radians does it turn in 3 seconds?

6π

36π

10π

12π

Question 17 of 20

18. What is the length of arc of a circle whose radius is 14 cm and which subtends an angle of 135° at the centre?

22 cm

42 cm

28 cm

33 cm

Question 18 of 20

19. An object is moving on the circle of radius 7 cm in clockwise direction with a speed of 10 cm/s. find the angle in radians covered by it in 10 sec when it starts at 0 degree.

-14.29 radian

-1.43 radian

14.29 radian

1.43 radian

Question 19 of 20

20. A cow is tethered to a corner of a field with a rope of length 7 m.

If she grazes on the length of 210 m , what is the angle through which the rope moves?

90 degrees

60 degrees

45 degrees

30 degrees

Question 20 of 20

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