Mathematics (NDA SOLVED PAPER 2020 – II) (51 to 100)

Total Questions: 50

31. Solve it?

Correct Answer: (b) should be 1
Solution:

32. The solution of the differential equation dy = (1 + y²) dx is

Correct Answer: (b) y = tan(x + c)
Solution:

33. Solve it?

Correct Answer: (c)
Solution:

34. What is the domain of the function f(x) = cos⁻¹(x - 2)?

Correct Answer: (b) [1, 3]
Solution:

35. What is the area of the region enclosed between the curve y² = 2x and the straight line y = x?

Correct Answer: (c) 2/3
Solution:

36. If f(x) = 2x - x², then what is the value of f(x + 2) + f(x - 2) when x = 0?

Correct Answer: (a) − 8
Solution:

37. If xᵐ yⁿ = aᵐ ⁺ ⁿ, then what is dy/dx equal to?

Correct Answer: (b)
Solution:

38. Find the value?

Correct Answer: (a)
Solution:

39. What is the minimum value of |x − 1| , where x ∈ R?

Correct Answer: (a) 0
Solution:

40. What is the value of k such that integration of 3x² + 8 - 4k / x with respect to x, may be a rational function?

Correct Answer: (c) 2
Solution: