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Trigonometry | Mathematics - Exercise 3.12: Choose the correct or the most suitable answer | 11th Mathematics : Chapter 3 : Trigonometry

Chapter: 11th Mathematics : Chapter 3 : Trigonometry

Exercise 3.12: Choose the correct or the most suitable answer

Multiple choice questions with answers / choose the correct answer with answers - Maths Book back 1 mark questions and answers with solution for Exercise Problems - Mathematics : Trigonometry

CHAPTER : Trigonometry

 

Choose the correct answer or the most suitable answer:

 

1. 1/cos 80̊  - √3/sin 80̊ =

 

(1) √2

(2) √3

(3) 2

(4) 4


Solution


 

2. If cos 28̊  + sin 28̊  = k3, then cos 17̊  is equal to

 

(1) k3/√2

(2) -k3/√2

(3) ± k3/√2

(4) - k3/√2


Solution


 

3. The maximum value of 4 sin2x + 3cos2x + sin x/2 + cos x/2 is

 

(1) 4 + √2

(2) 3 + √2

(3) 9

(4) 4


Solution


 

4. 

 

(1) 1/8

(2)1/2

(3)1/√3

(4)1/√2

 

Solution



5. If , equal to

 

(1) -2cosθ

(2) -2sinθ

(3) 2cosθ

(4) 2sinθ


Solution (Option : (4) 2sinθ or (1) -2cosθ ??????? Please don't refer this solution for examination)

 

 

6. If tan40̊ = λ, then 

 

(1) 1-λ2/ λ

(2) 1+λ2/ λ

(3) 1+λ2/ 2λ

(4) 1-λ2/ 2λ


Solution


  

7. cos 1̊ + cos 2̊ + cos 3̊ + …. + cos 179̊ =

 

(1) 0

(2) 1

(3) -1

(4) 89


Solution


 

8. Let fk(x) =1/k [sinkx + coskx] where x R and k ≥ 1. Then f4(x) - f6(x) =

 

(1)1/4

(2)1/12

(3)1/6

(4)1/3


Solution


 

9. Which of the following is not true?

 

(1) sin θ = -3/4

(2) cos θ = -1

(3) tan θ = 25

(4) sec θ =1/4


Solution


 

10. cos2θ cos2ϕ + sin2- ϕ) - sin2 (θ + ϕ) is equal to

 

(1) sin 2(θ + ϕ)

(2) cos 2(θ + ϕ)

(3) sin 2(θ - ϕ)

(4) cos 2(θ - ϕ)


Solution


 

11. 

 

(1) sinA + sinB + sinC

(2) 1

(3) 0

(4) cosA + cosB + cosC


Solution


 

12. If cos pθ + cos qθ = 0 and if p ≠ q, then θ is equal to (n is any integer)

 


Ans: 2

Solution


  

13.If tanα and tanβ are the roots of x2 + ax + b = 0, then  is equal to

 

(1)b/a

(2)a/b

(3) a/b

(4) b/a


Solution


 

14. In a triangle ABC, sin2A + sin2B + sin2C = 2, then the triangle is

 

(1) equilateral triangle

(2) isosceles triangle

(3) right triangle

(4) scalene triangle.


Solution


 

15. If f(θ) = |sin θ| + |cosθ| , θ R, then f(θ) is in the interval

 

(1) [0, 2]

(2) [1,√2]

(3) [1, 2]

(4) [0, 1]


Solution


 

16. cos 6x + 6 cos 4x + 15 cos 2x + 10 / cos 5x + 5 cos 3x + 10 cos x is equal to

 

(1) cos2x

(2) cos x

(3) cos 3x

(4) 2 cos x


Solution


 

17. The triangle of maximum area with constant perimeter 12m

 

(1) is an equilateral triangle with side 4m

(2) is an isosceles triangle with sides 2m, 5m, 5m

(3) is a triangle with sides 3m, 4m, 5m

(4) Does not exist.


Solution


 

18. A wheel is spinning at 2 radians/second. How many seconds will it take to make 10 complete rotations?

 

(1) 10π seconds

(2) 20 π seconds

(3) 5 π seconds

(4) 15π seconds


Solution


 

19. If sinα + cosα = b, then sin 2α  is equal to

 

(1) b2 - 1, if b ≤ √2

(2) b2 - 1, if b > √2

(3) b2 - 1, if b ≥ 1

(4) b2 - 1, if b ≥√2


Solution


 

20. In a ∆ABC, if

(i) sin A/2 sin B/2 sin C/2> 0

(ii) sinAsinB sinC > 0 then

 

(1) Both (i) and (ii) are true

(2) Only (i) is true

(3) Only (ii) is true

(4) Neither (i) nor (ii) is true.


Solution


 

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