trigonometry series angles

8/6/2019 Trigonometry Series Angles

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[2]Quest TutorialsNorth Delhi : E-16/289, Sector-8, Rohini, New Delhi. Ph. 65395439

Question bank on Compound angles, Trigonometric eqn and ineqn,

Solutions of Triangle, Sequence & Progression

There are 132 questions in this question bank.

Select the correct alternative : (Only one is correct)

Q.1 If x + y = 3 cos4 and x y = 4 sin2 then

(A) x4 + y4 = 9 (B) 16yx =+

(C) x3 + y3 = 2(x2 + y2) (D) 2yx =+

Q.2 If in a triangle ABC, b cos2A

2+ a cos2

B

2=

3

2c then a, b, c are :

(A) in A.P. (B) in G.P. (C) in H.P. (D) None

Q.3 If tanB =Acosn1

AcosAsinn2

then tan(A + B) equals

(A)Acos)n1(

Asin

(B)Asin

Acos)1n( (C)Acos)1n(

Asin

(D)Acos)1n(

Asin+

Q.4 Given a2 + 2a + cosec2

2( )a x+

FHG

IKJ = 0 then, which of the following holds good?

(A) a = 1 ;x

I2 (B) a = 1 ;

xI

2

(C) a R ; x (D) a , x are finite but not possible to find

Q.5 If A is the area and 2s the sum of the 3 sides of a triangle, then :

(A) As2

3 3(B) A =

s2

2(C) A >

s2

3(D) None

Q.6 The exact value ofcos cos cos cos cos cos2

28

3

28

6

28

9

28

18

28

27

28

ec ec ec+ + is equal to

(A) 1/2 (B) 1/2 (C) 1 (D) 0

Q.7 In any triangle ABC, (a + b)2 sin2C

2+ (a b)2 cos2

C

2=

(A) c (a + b) (B) b (c + a) (C) a (b + c) (D) c2

Q.8( ) ( ) ( )

( ) ( )

tan . cos sin

cos . tan

x x x

x x

+

+

232

72

232

3

when simplified reduces to :

(A) sinx cosx (B) sin2 x (C) sinx cosx (D) sin2x

Q.9 If in a ABC, sin3A + sin3B + sin3C = 3 sinA sinB sinC then

(A) ABC may be a scalene triangle (B) ABC is a right triangle

(C) ABC is an obtuse angled triangle (D) ABC is an equilateral triangle

Q.10 In a triangle ABC, CH and CM are the lengths of the altitude and median to the base AB. If a = 10,b = 26, c = 32 then length (HM)


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(A) 5 (B) 7 (C) 9 (D) none

Q.11 The value of1tan

cossin

cossin

sin2

2

+

for all permissible vlaues of

(A) is less than 1 (B) is greater than 1

(C) lies between 1 and 1 including both (D) lies between 2 and 2

Q.12 sin 3 = 4 sin sin 2 sin 4 in 0 has :(A) 2 real solutions (B) 4 real solutions

(C) 6 real solutions (D) 8 real solutions.

Q.13 In a triangle ABC, CD is the bisector of the angle C. If cosC

2has the value

1

3and l(CD) = 6, then

1 1

a b+

has the value equal to

(A)

1

9 (B)

1

12 (C)

1

6 (D) none

Q.14 The set of angles btween 0 & 2 satisfying the equation 4 cos2 2 2 cos 1 = 0 is

(A)

12

5

12

19

12

23

12, , ,

RST

UVW

(B)

12

7

12

17

12

23

12, , ,

(C)5

12

13

12

19

12

, ,

RST

UVW

(D)

12

7

12

19

12

23

12, , ,

RST

UVW

Q.15 If the median of a triangle ABC through A is perpendicular to AB thentan

tan

A

Bhas the value equal to

(A)1

2(B) 2 (C) 2 (D)

1

2

Q.16 If cos( + ) = 0 then sin( + 2) =(A) sin (B) sin (C) cos (D) cos

Q.17 With usual notations, in a triangle ABC, a cos(B C) + b cos(C A) + c cos(A B) is equal to

(A) 2R

abc(B) 2R4

abc(C) 2R

abc4(D) 2R2

abc

Q.18 sin cossin cos

3 3

cos

cot

1 2+ 2 tan cot = 1 if :

(A) 02

,

(B)

2,

(C)

,

3

2

(D)

3

22

,

Q.19 With usual notations in a triangle ABC, ( I I1) ( I I

2) ( I I

3) has the value equal to

(A) R2r (B) 2R2r (C) 4R2r (D) 16R2r

Q.20 In a triangle ABC, angle B < angle C and the values of B & C satisfy the equation

2 tanx - k (1 + tan2 x) = 0 where (0 < k < 1) . Then the measure of angle A is :


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[4]Quest Tutorials

North Delhi : E-16/289, Sector-8, Rohini, New Delhi. Ph. 65395439

(A) /3 (B) 2 /3 (C) /2 (D) 3 /4

Q.21 If cos =2 1

2

cos

cos

then tan

2cot

2has the value equal to, where(0 < < and 0 < < )

(A) 2 (B) 2 (C) 3 (D) 3

Q.22 In a ABC, if the median, bisector and altitude drawn from the vertex A divide the angle at the vertex

into four equal parts then the angles of the ABC are :

(A)2

3 4 12

, , (B)

2 3 6, , (C)

2

3

8 8, , (D)

2

3

10 5, ,

Q.23 If A + B + C = & sin AC

+

2= k sin

C

2, then tan

A

2tan

B

2=

(A)k

k

+

1

1(B)

k

k

+

1

1(C)

k

k+ 1(D)

k

k

+ 1

Q.24 The equation, sin

2

4

13sin = 1

4

13sin has :

(A) no root (B) one root (C) two roots (D) infinite roots

Q.25 With usual notation in a ABC1 1 1 1 1 1

1 2 2 3 3 1r r r r r r+

+

+

=

K R

a b c

3

2 2 2where K has the value

equal to :

(A) 1 (B) 16 (C) 64 (D) 128

Q.26 If 5

2

3

<


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Q.30 With usual notation in a ABC, if R = k( ) ( ) ( )r r r r r r

r r r r r r

1 2 2 3 3 1

1 2 2 3 3 1

+ + +

+ +where k has the value equal to:

(A) 1 (B) 2 (C) 1/4 (D) 4

Q.31 If a cos3 + 3a cos sin2 = m and a sin3 + 3a cos2 sin = n . Then

(m + n)2/3+ (m n)2/3 is equal to :

(A) 2a2 (B) 2 a1/3 (C) 2a2/3 (D) 2a3

Q.32 In a triangle ABC , AD is the altitude from A . Given b > c , angle C = 23 & AD =a b c

b c2 2

then angle B = [JEE 94, 2]

(A) 157 (B) 113 (C) 147 (D) none

Q.33 The value of cotx + cot(60 + x) + cot(120 + x) is equal to :

(A) cot3x (B) tan3x (C) 3 tan3x (D)3 9

3

2

3

tan

tan tan

x

x x

Q.34 In a ABC, cos 3A + cos 3B + cos 3C = 1 then :

(A) ABC is right angled

(B) ABC is acute angled

(C) ABC is obtuse angled

(D) nothing definite can be said about the nature of the .

Q.35 The value of3 76 16

76 16

+

+

cot cot

cot cotis :

(A) cot44 (B) tan44 (C) tan2 (D) cot46

Q.36 If the incircle of the ABC touches its sides respectively at L, M and N and if x, y, z be the circumradii

of the triangles MIN, NIL and LIM where I is the incentre then the product xyz is equal to :

(A) Rr2 (B) rR2 (C)1

2Rr2 (D)

1

2rR2

Q.37 The number of solutions of tan (5 cos) = cot (5 sin) for in (0, 2) is :

(A) 28 (B) 14 (C) 4 (D) 2

Q.38 If A = 3400 then 2

2

sinA

is identical to

(A) 1 1+ + sin sinA A (B) + 1 1sin sinA A

(C) 1 1+ sin sinA A (D) + + 1 1sin sinA A

Q.39 AD, BE and CF are the perpendiculars from the angular points of a ABC upon the opposite sides.

The perimeters of the DEF and ABC are in the ratio :

(A)2r

R(B)

r

R2(C)

r

R(D)

r

R3

where r is the in radius and R is the circum radius of the ABC


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[6]Quest Tutorials


Q.40 The value of cosec

18 3 sec

18is a

(A) surd (B) rational which is not integral

(C) negative natural number (D) natural number

Q.41 In a ABC if b + c = 3a then cotB

2 cot

C

2has the value equal to :

(A) 4 (B) 3 (C) 2 (D) 1

Q.42 The set of values of a for which the equation, cos 2x + a sin x = 2a 7 possess a solution is :

(A) ( , 2) (B) [2, 6] (C) (6, ) (D) ( , )

Q.43 In a right angled triangle the hypotenuse is 2 2 times the perpendicular drawn from the opposite vertex.

Then the other acute angles of the triangle are

(A)

3&

6(B)

8&

3

8

(C)

4&

4(D)

5&

3

10

Q.44 Let f, g, h be the lengths of the perpendiculars from the circumcentre of theABC on the sides a, b and

c respectively . Ifa

f

b

g

c

h+ + =

a b c

f g hthen the value of is :

(A) 1/4 (B) 1/2 (C) 1 (D) 2

Q.45 In ABC, the minimum value of

2

Acot

2

Bcot.

2

Acot

2

22

is

(A) 1 (B) 2 (C) 3 (D) non existent

Q.46 If the orthocentre and circumcentre of a triangle ABC be at equal distances from the side BC and lie on

the same side of BC then tanB tanC has the value equal to :

(A) 3 (B)3

1(C) 3 (D)

3

1

Q.47 The general solution of sin x + sin 5x = sin 2x + sin 4x is :

(A) 2n (B) n (C) n/3 (D) 2 n /3

where n I

Q.48 The product of the distances of the incentre from the angular points of a ABC is :

(A) 4 R2 r (B) 4 Rr2 (C)( )a b c R

s(D)

( )R

scba

Q.49 Number of roots of the equation cos sin2 3 1

2

3

41 0x x+

+ = which lie in the interval

[, ] is

(A) 2 (B) 4 (C) 6 (D) 8


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[8]Quest Tutorials


Q.60 If x, y and z are the distances of incentre from the vertices of the triangle ABC respectively then

zyx

cbais equal to

(A) 2

Atan (B)

2

Acot (C)

2

Atan (D)

2

Asin

Q.61 The medians of a ABC are 9 cm, 12 cm and 15 cm respectively . Then the area of the triangle is

(A) 96 sq cm (B) 84 sq cm (C) 72 sq cm (D) 60 sq cm

Q.62 If x =n

2, satisfies the equation sin

x

2 cos

x

2= 1 sinx & the inequality

x

2 2

3

4

, then:

(A) n = 1, 0, 3, 5 (B) n = 1, 2, 4, 5

(C) n = 0, 2, 4 (D) n = 1, 1, 3, 5

Q.63 The value of 1

9

13

9

15

9

17

9

+F

H

GI

K

J +F

H

GI

K

J +F

H

GI

K

J +F

H

GI

K

Jcos cos cos cos

is

(A)9

16(B)

10

16(C)

12

16(D)

5

16

Q.64 The number of all possible triplets (a1 , a2 , a3) such that a1+ a2 cos2x + a3 sin x = 0 for all x is

(A) 0 (B) 1 (C) 3 (D) infinite

Q.65 In a ABC, a semicircle is inscribed, whose diameter lies on the side c. Then the radius of the semicircle

is

(A)ba

2

+

(B)

cba

2

+

(C)

s

2(D)

2

c

Where is the area of the triangle ABC.

Q.66 For each natural number k , let Ck

denotes the circle with radius k centimeters and centre at the origin.

On the circle Ck

, a particle moves k centimeters in the counter- clockwise direction. After completing its

motion on Ck, the particle moves to Ck+1 in the radial direction. The motion of the particle continues in

this manner .The particle starts at (1, 0).If the particle crosses the positive direction of the x- axis for the

first time on the circle Cn then n equal to

(A) 6 (B) 7 (C) 8 (D) 9

Q.67 If in a ABC,cos cos cosA

a

B

b

C

c= = then the triangle is

(A) right angled (B) isosceles (C) equilateral (D) obtuse

Q.68 If cos A + cosB + 2cosC = 2 then the sides of the ABC are in

(A) A.P. (B) G.P (C) H.P. (D) none

Q.69 If A and B are complimentary angles, then :

(A) 12

12

+

+

tan tan

A B= 2 (B) 1

21

2+

+

cot cot

A B= 2


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(C) 12

12

+

+

sec cos

Aec

B= 2 (D) 1

21

2

tan tan

A B= 2

Q.70 The value of , 3 cosec20 sec20 is :

(A) 2 (B)2 20

40

sin

sin

(C) 4 (D)4 20

40

sin

sin

Q.71 If in a ABC, cosAcosB + sinA sinB sin2C = 1 then, the statement which is incorrect, is

(A) ABC is isosceles but not right angled (B) ABC is acute angled

(C) ABC is right angled (D) least angle of the triangle is

4

Q.72 The set of values of x satisfying the equation,( )

4xtan

2

2 ( )

( )x2cos

42

sin x

25.0

+ 1 = 0, is :

(A) an empty set (B) a singleton

(C) a set containing two values (D) an infinite set

Q.73 The product of the arithmetic mean of the lengths of the sides of a triangle and harmonic mean of the

lengths of the altitudes of the triangle is equal to :

(A) (B) 2 (C) 3 (D) 4

[ where is the area of the triangle ABC ]

Q.74 If in a triangle sin A : sin C = sin (A B) : sin (B C) then a2 : b2 : c2

(A) are in A.P. (B) are in G.P.

(C) are in H.P. (D) none of these

[ Y G 99 Tier - I ]

Q.75 The number of solution of the equation, =

5

1r

)xrcos( = 0 lying in (0, p) is :

(A) 2 (B) 3 (C) 5 (D) more than 5

Q.76 If = 3 and sin =a

a b2 2+. The value of the expression

, a cosec b sec is

(A)1

2 2a b+(B) 2 a b2 2+ (C) a + b (D) none

Q.78 The value of cot 71

2

0

+ tan 671

2

0

cot 671

2

0

tan71

2

0

is :

(A) a rational number (B) irrational number (C) 2(3 + 2 3 ) (D) 2 (3 3 )

Q.79 If in a triangle ABC2 2cos cos cosA

a

B

b

C

c

a

b c

b

ca+ + = + then the value of the angle A is :

(A) 8

(B) 4

(C) 3

(D) 2


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[10]Quest Tutorials


Q.80 The value of the expression (sinx + cosecx)2 + (cosx + secx)2 ( tanx + cotx)2 wherever defined is

equal to

(A) 0 (B) 5 (C) 7 (D) 9

Q.81 If A = 5800 then which one of the following is true

(A)Asin1Asin12

A

sin2 +=

(B) Asin1Asin1

2

Asin2 ++=

(C) Asin1Asin12

Asin2 +=

(D) Asin1Asin1

2

Asin2 ++=

Q.82 With usual notations in a triangle ABC, if r1 = 2r2 = 2r3 then

(A) 4a = 3b (B) 3a = 2b (C) 4b = 3a (D) 2a = 3b

Q.83 If tan =1xx

xx2

2

+

and tan =

1x2x2

12 +

(x 0, 1), where 0 < , 0

(C)3 7 24

15

( cot )+ for tan < 0 (D) none

Q.101 If x = sec tan & y = cosec + cot then :

(A) x =y

y

+

1

1(B) y =

1

1

+

x

x(C) x =

y

y

+

1

1(D) xy + x y + 1 = 0

Q.102 If 2 cos + sin = 1, then the value of 4 cos + 3sin is equal to

(A) 3 (B) 5 (C)7

5(D) 4

Q.103 If sint + cost =1

5then tan

t

2is equal to :

(A) 1 (*B) 1

3(C) 2 (D)

1

6

SEQUENCE & PROGRESSION


Q.104 If a, b, c be in A.P., b, c, d in G.P. & c, d, e in H.P., then a, c, e will be in :

(A) A.P. (B) G.P. (C) H.P. (D) none of these

Q.105 If a, b, c are in H.P., then a, a c, a b are in :(A) A.P. (B) G.P. (C) H.P. (D) none of these

Q.106 If three positive numbers a , b, c are in H.P. thene n a c n a b c ( ) ( )+ + +2 simplifies to

(A) (a c)2 (B) zero (C) ( a c) (D) 1


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Q.107 The sum1

122 rr =

is equal to :

(A) 1 (B) 3/4 (C) 4/3 (D) none

Q.108 In a potato race , 8 potatoes are placed 6 metres apart on a straight line, the first being 6 metres from the

basket which is also placed in the same line. A contestant starts from the basket and puts one potato at

a time into the basket. Find the total distance he must run in order to finish the race.(A) 420 (B) 210 (C) 432 (D) none

Q.109 If the roots of the cubic x3 px2 + qx r = 0 are in G.P. then

(A) q3 = p3r (B) p3 = q3r (C) pq = r (D) pr = q

Q.110 Along a road lies an odd number of stones placed at intervals of 10 m. These stones have to be assembled

around the middle stone. A person can carry only one stone at a time. A man carried out the job starting

with the stone in the middle, carrying stones in succession, thereby covering a distance of 4.8 km. Then

the number of stones is

(A) 15 (B) 29 (C) 31 (D) 35

Q.111 If 2log)12.5( x +

; 4log)12( x1 +

and 1 are in Harmonical Progression then

(A) x is a positive real (B) x is a negative real

(C) x is rational which is not integral (D) x is an integer

Q.112 If a, b, c are in G.P., then the equations, ax2 + 2bx + c = 0 & dx2 + 2ex + f = 0 have a common root, if

d

a,e

b,f

care in :

(A) A.P. (B) G.P. (C) H.P. (D) none

Q.113 If the sum of the roots of the quadratic equation, ax2 + bx + c = 0 is equal to sum of the squares of their

reciprocals, thena

c,b

a,c

bare in :

(A) A.P. (B) G.P. (C) H.P. (D) none

Q.114 If for an A.P. a1

, a2

, a3

,.... , an

,....

a1

+ a3

+ a5

= 12 and a1

a2

a3

= 8

then the value of a2

+ a4

+ a6

equals

(A) 12 (B) 16 (C) 18 (D) 21[ Apex : Q.62 of Test - 1 Scr. 2004 ]

Q . 1 1 5 G i v e n f o u r p o s i t i v e n u m b e r i n A . P . I f 5 , 6 , 9 a n d 1 5 a r e a d d e d r e s p e c t i v e l y t o t h e s e n u m b e r s , w e g e t

a G . P . , t h e n w h i c h o f t h e f o l l o w i n g h o l d s ?

( A ) t h e c o m m o n r a t i o o f G . P . i s 3 / 2

( B ) c o m m o n r a t i o o f G . P . i s 2 / 3

( C ) c o m m o n d i f f e r e n c e o f t h e A . P . i s 3 / 2

( D ) c o m m o n d i f f e r e n c e o f t h e A . P . i s 2 / 3


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[14]Quest Tutorials


Q.116 Consider an A.P. with first term 'a' and the common difference d. Let Sk

denote the sum of the first K

terms. LetS

S

kx

xis independent of x, then

(A) a = d/2 (B) a = d (C) a = 2d (D) none

Q.117 Concentric circles of radii 1, 2, 3......100 cms are drawn. The interior of the smallest circle is coloured

red and the angular regions are coloured alternately green and red, so that no two adjacent regions areof the same colour. The total area of the green regions in sq. cm is equal to

(A) 1000 (B) 5050 (C) 4950 (D) 5151

Q.118 Consider the A.P. a1

, a2

,..... , an

,....

the G.P. b1

, b2

,....., bn

,.....

such that a1

= b1

= 1 ; a9

= b9

and 369a9

1r

r ==

then

(A) b6

= 27 (B) b7

= 27 (C) b8

= 81 (D) b9

= 18

[ Apex : Q.68 of Test - 1 Scr. 2004 ]

Q.119 For an increasing A.P. a1, a

2, ...... a

nif a

1+ a

3+ a

5= 12 : a

1a

3a

5= 80 then which of the following does

not hold?

(A) a1

= 10 (B) a2

= 1 (C) a3

= 4 (D) a5

= 2

Q.120 Consider a decreasing G.P. : g1, g

2, g

3, ...... g

n....... such that g

1+ g

2+ g

3= 13 and

2

3

2

2

2

1ggg ++ =91

then which of the following does not hold?

(A) The greatest term of the G.P. is 9. (B) 3g4

= g3

(C) g1

= 1 (D) g2

= 3

Q.121 If p , q, r in H.P. and p & r be different having same sign then the roots of the equation px2 + qx + r = 0

are

(A) real & equal (B) real & distinct (C) irrational (D) imaginary

Q.122 The point A(x1, y

1) ; B(x

2, y

2) and C(x

3, y

3) lie on the parabola y = 3x2. If x

1, x

2, x

3are in A.P. and y

1,

y2, y

3are in G.P. then the common ratio of the G.P. is

(A) 3 + 22 (B) 3 + 2 (C) 3 2 (D) 3 22

Q.123 If a, b, c are in A.P., then a

2

(b + c) + b

2

(c + a) + c

2

(a + b) is equal to :

(A)( )a b c+ +

3

8(B)

2

9(a + b + c)3 (C)

3

10(a + b + c)3 (D)

1

9(a + b + c)3

Q.124 If Sn

=1

1

1 2

1 23 3 3

++

+

+...... +1 2 3

1 2 33 3 3 3

+ + + +

+ + + +

......

......

n

n, n = 1, 2, 3,...... Then S

nis not greater than:

(A) 1/2 (B) 1 (C) 2 (D) 4

Q.125 If Sn

denotes the sum of the first n terms of a G.P. , with the first term and the common ratio both positive,

then

(A) Sn

, S2n

, S3n

form a G.P. (B) Sn

, S2n

, Sn

, S3n

, S2n

form a G.P.

(C) S2n

Sn

, S3n

S2n

, S3n

Sn

form a G.P. (D) S2n

Sn

, S3n

S2n

, S3n

Sn

form a G.P.


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Q.126 toequalis................10.8.6.4.2

7.5.3.1

8.6.4.2

5.3.1

6.4.2

3.1

4.2

1++++

(A)4

1(B)

3

1(C)

2

1(D) 1

Q.127 Consider an A.P. a1 , a2 , a3 ,......... such that a3 + a5 + a8 = 11 and a4 + a2 = 2, then the value ofa

1+ a

6+ a

7is

(A) 8 (B) 5 (C) 7 (D) 9

Q.128 A circle of radius r is inscribed in a square. The mid points of sides of the square have been connected by

line segment and a new square resulted. The sides of the resulting square were also connected by

segments so that a new square was obtained and so on, then the radius of the circle inscribed in the nth

square is

(A) r22

n1

(B) r22

n33

(C) r22

n

(D) r2

2

n35

Q.129 The sum

=

+

1kk

2k

3

2equal to

(A) 12 (B) 8 (C) 6 (D) 4

Q.130 The sum

=

+

1n2n

2n

4

25 is equal to

(A) 1372 (B) 440 (C) 320 (D) 388

Q.131 Given am+n

= A ; amn

= B as the terms of the G.P. a1

, a2

, a3

,............. then for A 0 which of the

following holds?

(A) ABam

= (B) n2 nnn BAa =

(C)nm

mnnmm

1m

2

B

Aaa

+

= (D)

nm

nnmm

1n

22

B

Aaa

+

=

Q.132 The sum of the infinite series, 12

2

5

3

5

4

5

5

5

6

5

2 2

2

2

3

2

4

2

5

+ +

+........ is :

(A)1

2(B)

25

24(C)

25

54(D)

125

252


15/15


AnswersSelect the correct alternative : (Only one is correct)

Q.1 D Q.2 D Q.3 A Q.4 B Q.5 A Q.6 D Q.7 D

Q.8 D Q.9 D Q.10 C Q.11 D Q.12 D Q.13 A Q.14 B

Q.15 C Q.16 A Q.17 A Q.18 B Q.19 D Q.20 C Q.21 D

Q.22 C Q.23 A Q.24 D Q.25 C Q.26 D Q.27 B Q.28 A

Q.29 D Q.30 C Q.31 C Q.32 B Q.33 D Q.34 C Q.35 AQ.36 C Q.37 A Q.38 D Q.39 C Q.40 D Q.41 C Q.42 B

Q.43 B Q.44 A Q.45 A Q.46 A Q.47 C Q.48 B Q.49 B

Q.50 D Q.51 D Q.52 B Q.53 C Q.54 D Q.55 A Q.56 B

Q.57 C Q.58 C Q.59 B Q.60 B Q.61 C Q.62 B Q.63 A

Q.64 D Q.65 A Q.66 B Q.67 C Q.68 A Q.69 A Q.70 C

Q.71 C Q.72 A Q.73 B Q.74 A Q.75 C Q.76 B Q.78 B

Q.79 D Q.80 B Q.81 C Q.82 C Q.83 A Q.84 C Q.85 C

Q.86 B Q.87 B Q.88 D Q.89 A Q.90 C Q.91 C Q.92 D

Q.93 C

Select the correct alternatives : (More than one are correct)

Q.94 ABD Q.95 BCD Q.96 ABCD Q.97 AC Q.98 BD Q.99 BC

Q.100 ABC Q.101 BCD Q.102 AC Q.103 BC

SEQUENCE & PROGRESSION


Q.104 B Q.105 C Q.106 A Q.107 B Q.108 C

Q.109 A Q.110 C Q.111 B Q.112 A Q.113 C

Q.114 D Q.115 A Q.116 A Q.117 B Q.118 B

Q.119 B Q.120 C Q.121 D Q.122 A Q.123 B

Q.124 C Q.125 B Q.126 C Q.127 C Q.128 A

Q.129 B Q.130 c Q.131 A Q.132 C

Question bank on Compound angles, Trigonometric eq and ineq ,

trigonometry series angles

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