MCQ Ch 9 FSC Part1 Nauman

7/29/2019 MCQ Ch 9 FSC Part1 Nauman

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MCQs Ch # 9: F.Sc Part 1Text Book of Algebra and Trigonometry Class XI

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Fundamentals of Trigonometry

1. Direction of Qibla is found by using .

a) Plane Geometryb) Spherical Trigonometryc) Plane Trigonometryd) Analytical Geometrye) None of these

2. If a circle is divided into 360 parts, then

the angle subtended by each part at thecenter of the circle is called __________

a) 1 radianb) 1 degreec) 1 angstromd) 1 minutee) None of these

3. The union of two non-collinear rays which

have a common endpoint is called the ..

a) Angleb) Radianc) Degreed) Minutee) Second

4. One degree is denoted by __________

a) 1 radb) 1c) 1d) 1oe) None of these

5. 1rt. angle = __________

a) 90ob) 180oc) 270od) 190o

e) None of these

6. The 60th

part of one degree is called one

a) centimeterb) radianc) degreed) minutee) none of these

7. Measure of the central angle of an are of a

circle whose length is equal to the radius

of the circle is known as _________

a) 1 degreeb) 1 radianc) 1 rt. angled) All of thesee) None of these

8. The circumference of a circle r is

considered as __________

a) 2r

b) rc) 3rd) 4re) None of these

9. 1 radian = __________

a) 547157

b) 47o

c) 37o

d) 38

o

e) None of these

10. 1o

= _________

a) 06

b) 06

c) 0360

d) 036

e) None of these


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MCQs Ch # 9: F.Sc Part 1

Written by NAUMAN IDREES ([email protected]) http://www.MathCity.org

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c) 0.443 radiansd) 2 radianse) None of these

21. In the given figure the angle a + b + c is

C

a

b c

B

B

a) < BDC = b) c) 2d) +2e) < B

22. Two right angles are the angle of measure

a) 018 b) 018 c) 60od) 90oe) 180o

23. For a right angled triangle ABC as shown

in the figure we have Sin = _______

B

A Cb

c a

a) ac

b)

c

a c) c

b

d) bc

e) None of these

24. Four right angles are the angle of measure

a) 90ob) 180o

c) 270o

d) 360oe) 036

25. In the figure the area of triangle ABC is

A B

CD

12

16

a) 28b) 32

c) 96d) 192e) 182

26. For a right angled triangle ABC as shown

in the figure, we have =secCo _______

B

A Cb

c a

a) ca

b) cb

c) bc

d) cc

+

e) None of these

27. The system of measurement in which the

angle is measured in degrees, and its

subunits, minutes and seconds is called

a) Circular systemb) Sexagesimal systemc) MKS systemd) CGS system

e) None of these

28. ____________=Cot

a)

Cos

Sin

b)

Sin

Cos

c)Sin

1

d)Cos

1

e) None of these


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29. In the figure the surface area (shaded) of

right circular cylinder is

_____

____________

_____

____________

h

_________________r

a) 22 2r rh +

b) 22 r r h +

c) 22 r

d) rh

e) 2 rh

30. The system of measurement in which the

angle is measured in radians is called ..

a) Circular systemb) Sexagesimal systemc) MKS systemd) CGS systeme) None of these

31. __________=Sec

a)

Cos

Sin

b)

Cos

Cos

c)Sin

1

d)Cos

1

e) None of these

32. In the figure, the shaded area is given by

A

B C

a) 64/25

b) 65

c) 4/25

d) 6e) 7

33. = 830416

a) 140ob) 17oc) 16o

d) 86003e) 86003

34. =+ 22

CosSin ., for all values of.

a) 1b) 0

c) 21 Tan+ d) 1e) None of these

35. In the figure the length of AB is

A

C

BD

450

6

a) 7

b) 26 +

c) 226+

d) 12e) 13

36. 16o

= ________

a) 960ob) 096 c) 05760 d) 86003 e) 86003

37. In the figure the angle A is (AB = AC = X)

A

B CX

XX

a) 50ob) 60o

c) 90od) 120oe) 180o


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38. Two right angles are equal to

a) 018

b) 018

c) 064800

d) 01080

e) 01080

39. The associated angle of 280o

is

a) 100ob) 10oc) 80od) 80oe) 190o

40. Cot 180o

= _________a) 1b) Oc) 1d) e) 11

41. A radian is the measure of the central

angle of an arc of a circle whose length is

equal to the

a) half of radius of the circle

b) diameter of the circlec) radius of the circled) one third of radius of the circlee) none of these

42. Sec 180o

= _________

a) 1b) 0c) 1d)

e) None of these

43. In the ABC the angle is

30o

2a a

A

B

C

a) 30ob) 45oc) 60od) 90oe) 180o

44. The central angle of an arc of a circle

whose length is equal to the radius of the

circle is called the

a) degreeb) radianc) minuted) seconde) none of these

45.b

cIn the ABC the angle is

< < a) 30ob) 45oc) 45od) 90oe) 120o

46. Cosec 180o

=________?

a) 1b) 0c) -1

d)

e) 2 1

47. if r is the radius, m < AOB =

A

r

B

O

a) 1 radianb) 1 degreec) 1 minuted) 1 seconde) None of these


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48. In the figure the angle is

a) 45ob) 60oc) 75od) 90oe) 90o

49. One minute is denoted by

a) 1radb) 1 c) 1 d) 1oe) None of these

50. Cos 270o

=___?

a) 1b) 0c) -1

d)

e) 0 2

51. The area of the shaded portion in the figure is

C D

A B

2

2

a) 4b) 24 c) 4

d) 4e) 4 - 2

52 Tan 270o

= _______?

a) 1

b) 0c) -1

d) e) 2

53 1o

=

a) 1 radianb) 0.01745 radianc) 0.5 radiand) 2.5 radiane) 1.01745 radian

54 Tan 30o

= ______?

a) 13

b) 32

c) 12

d) 12

e)

1

2

55 If an arc of length l of circle of radius r

subtends an angle radian at the center, then l =

a)r

1

b)

r

c)r

d) r e) None of these

56 In the figure the angle is

B CM

LN

O

A

a) 60

o

b) 120oc) 180od) 240oe) 290o

57 In the first quadrant Sin is _________

a) positiveb) negativec) both

d) not definede) none of these


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58 In the figure the length of LM is

A

B C2x

L M

y

y

y

yX

a) xb) 2xc) 3xd) 4xe) 8

59. Convert

180to radians

a) 0.94 radiansb) 1 radiansc) 3.97 radiansd) 4.57 radianse) 3.54 radians

60. 1o

=

a)180

radians

b)

180

radians

c)180

1radians

d) 180 radians

e) radians

61 =

2

122

a)2

radians

b)4

radians

c)8

radians

d) 180 radians

e) radians

62. Convert radian measure3

4to degree

a) 24.32ob) 24.97oc) 4.96od) 1.97oe) 23.42o

63. With usual notations, = _______

a) 1

b) 1r

c) rl

d)r

e) r

64.4

5radians =

a) 360o

b) 335oc) 270od) 225oe) 125o

65. The radian measure of the angle at the

center of circle of radius 12cm which cuts

off an arc 18cm long.

a) 9.47 radiansb) 1.19 radians

c) 1.5 radiansd) 2.5 radianse) None of these

66. 150o

=

a) 56

radians

b) 23

radians

c)

4

radians

d) 180 radians

e) radians

67. The length of the arc cut off on a circle of

radius 6cm by a central angle of 2 3

radians

a) 12.566cmb) 10.033cm

c) 12.113cmd) 9.156cme) 6.56cm


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68. 80o

=

a)6

5radians

b)

9

4radians

c)4

radians

d) 180 radians

e) radians

69. The radius of the circle when l = 3cm, =

3.4 radians.

a) 0.214 cmb) 9.419 cmc) 3.146 cmd) 4.978 cme) None of these

70. In one hour, the minutes hand of a clock

turns through

a) 56

radians

b)4

9

radians

c)4

radians

d) 180 radians

e) 2 radians

71. In the second quadrant Sin is ________

a) positiveb) negative

c) bothd) not definede) none of these

72. In one hour, the hours hand of a clock

turns through

a)12

radians

b)8

radians

c) 8 radians

d) radians

e) 2 radians

73. If the measure of two angles of a ABC is

30o

and 70o

then the 3rd

angle is

A

B C

a) 30ob) 70oc) 80od) 100oe) 210o

74. In one hour, the minutes hand of a clock

turns through

a) 360ob) 180oc) 90od) 60oe) 30o

75.?

larPerpendicuSin =

a) base

b) hypotenuse

c) cos

d) tan

e) none of these

76. In 15 minutes, the minutes hand of a clock

turns through

a) 360o

b) 180o

c) 90od) 60oe) 30o

77.?

1=Cos

a) sin

b) tan

c) cos

d) sec

e) none of these


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78. In the 2nd

quadrant Sec is ________?

a) positiveb) negativec) bothd) not definede) 1

79. In the 2nd

quadrant Cot is _______ ?

a) positiveb) negativec) bothd) not definede) < 1

80. In 15 minutes the hours hand of a clock

turns through

a) 7.5ob) 15oc) 30od) 60oe) 120o

81. The radian measure of the central angle of

an arc 50cm log on a circle of radius 25m

is

a) 3b) 2c) 1d) 0.5e) None of these

82. In the 3rd

quadrant Sin is _______ ?

a) positiveb) negative

c) bothd) not definede) None of these

83. Two cities whose longitudes are 30oE and

40oW on the equator are apart

a) 1000 kmb) 2000 kmc) 2500 kmd) 3351 kme) 7819.09 km

84.?

1sec =Co

a) cot

b) tan

c) sin

d) sec2

e) 1 sin

85. Two cities whose longitudes are 10oE and

20oW on the equator are apart.

a) 1000 kmb) 2000 kmc) 2500 kmd) 3351 kme) 6702 km

86. In the 3rd quadrant Cosec is _________ ?

a) positiveb) negativec) bothd) 0e) None of these

87. A railway train is running on a circular

track of radius 500 meters at the rate of 30

km per hour, it will turn in 10 seconds

through an angle.

a) 82644

b) 75239

c) 826418

d) 30o

e) 60o

88. The pendulum of a clock is 30 cm long

and it swings through an angle of 30o

each

second. How far does the tip of thependulum move in 1 second.

a) 10 cmb) 15.71 cmc) 20.94 cmd) 28.65 cme) 40 cm

89. A railway train is running on a circular

track of radius 1000 meters at the rate of

30 km per hour, it will turn in 10 secondsthrough an angle


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a) 82644

b) 75239

c) 826418

d) 30o

e) 60o

90. The pendulum of a clock is 40cm long andit swings through an angle of 30

oeach

second. How far does the tip of the

pendulum move in 1 seconds?

a) 10cmb) 15.71cmc) 20.94cmd) 28.65cme) 40cm

91. In the fourth quadrant Cosec is _______?

a) positiveb) negativec) bothd) 0e) None of these

92. A circular wire of radius 2cm is cut

straightened and then bent so as to lie

along the circumference of a hoop of

radius 24cm. the measure of the angle

subtended at the center of the hoop is

a) 15ob) 30oc) 25od) 60oe) 90o

93. sec2

- tan2

= _______

a) 1b) cosecc) tand) 1e) 11

94. The area of a sector of a circular region of

radius r and the central angle of the sector

radians is

a)

2

2

1

r

b) 2

2

1r

c) r2

1

d) 2

r

e)2

r

95. The area of a sector with a central angle of

1 radian in a circular region whose radiusis 2m.

a) 2m2b) 1m2c) 0.5m2

d)6

m

2

e)3

m

2

96. The area of a sector with a central angle of0.5 radians in a circular region whose

radius is 2m is

a)2

m

2

b)3

m

2

c)6

m

2

d) 2m2

e) 1m

2

97. An arc AB of length 5cm is marked on a

circle of radius 3cm. the area of the sector

bounded by this arc and the radii from A

and B is

a) 7.5 cm2b) 7.5 m2c) 75 m2d) 75 cm2

e) None of these

98. =+2

sin2

cos22

_________

a)4

1

b)2

1

c) 2

d) 0e) 1


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99. In which quadrant does the terminal side

lie if sin > 0 and tan _______ ?

a) 1stb) 2ndc) 3rdd) 4the) None of these

100. sec2

= ..

a) 1 cos2b) 1 tan2c) 1 + tan2d) 1 cot2e) 1 + cot2

101. =23Sin _______ ?

a) 1b) 0c) 1d) 11e) None of these

102. =

2

3Cos _______ ?


103. =9Cos _______ ?


104. Cosec2

- Cot2

= _______ ?

a) 1b) 0c) 1d) Tan2e) Sec2

105. Cos2

2 = _______ ?

a) 1 sin2b) 1 + sin2c) 1 sin22d) 1 - sine) 1 + sin

106. 1 + cot22 = _________ ?

a) sec2

b) cosec2c) cosec22d) sec2e) none of these

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Written by NAUMAN IDREES([email protected])FSc (Session: 2007-09)

ICMS College System Hayatabad, Peshawar

MCQ Ch 9 FSC Part1 Nauman

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