Mathematics (NDA/NA SOLVED PAPER 2022-II) (51 to 100)

Total Questions: 50

41. Under which one of the following conditions does the function f(x) = (p sec(x)²+ (q cosec(x)² attain minimum value?

Correct Answer: (a) tan²x = q/p
Solution:

42. Find the value?

Correct Answer: (b) x = 4
Solution:

43. Consider the following statements in respect of the function

1. The function attains maximum value only at x = 3
2. The function attains local minimum only at x = 0
Which of the statements given above is/are correct?

Correct Answer: (b) 2 only
Solution:

44. equal to?

Correct Answer: (b) 0
Solution:

45. Find the value?

Correct Answer: (d) 40 k
Solution:(d)

46. equal to?

Correct Answer: (a)
Solution:

47. What is the area of the region enclosed in the first quadrant by x² + y² = π², y = sin x and x = 0?

Correct Answer: (b)
Solution:

48. Consider the following statements :

Which of the statements given above is/are correct?

Correct Answer: (b) 2 only
Solution:

49. What is the differential equation of the family of parabolas having vertex at origin and axis along positive y-axis?

Correct Answer: (b)
Solution:

50. What is the solution of the differential equation (dy - dx) + cos x(dy + dx) = 0?

Correct Answer: (c)
Solution: