Mathematics (NDA SOLVED PAPER 2020 – II) (01 to 50)

Total Questions: 50

31. Read the following information and answer the three items that follow.

Question:- (31 to 33)
Let a sin² x + b cos² x = c,
b sin² y + a cos² y = d
and p tan x = q tan y
What is tan² x equal to?

Correct Answer: (a)
Solution:

32. Solve it?

Let a sin² x + b cos² x = c,
b sin² y + a cos² y = d
and p tan x = q tan y

Correct Answer: (c) tan²y
Solution:

33. Solve it?

Let a sin² x + b cos² x = c,
b sin² y + a cos² y = d
and p tan x = q tan y

Correct Answer: (b)
Solution:

34. Read the following information and answer the three items that follow.

Question:- (34 to 36)
Let tₙ sinⁿθ + cosⁿθ

Correct Answer: (a)
Solution:

35. What ist t₁² - t₂ equal to?

Let tₙ sinⁿθ + cosⁿθ

Correct Answer: (b) sin 2θ
Solution:

36. What is the value of t₁₀ where θ = 45°?

Let tₙ sinⁿθ + cosⁿθ

Correct Answer: (c) 1/16
Solution:

37. Read the following information and answer the three items that follow.

Let α = β = 15°.
What is the value of sin α + cos β?

Correct Answer: (d)
Solution:

38. What is the value of sin α - cos 7 β?

Let α = β = 15°.

Correct Answer: (d)
Solution:

39. What is sin (α + 1°) + cos (β + 1°) equal to?

Let α = β = 15°.

Correct Answer: (c)
Solution:

40. Solve it?

Correct Answer: (c) 1
Solution: