Mathematics NDA/NA SOLVED PAPER 2017 (II) (51 to 100)

Total Questions: 50

41. Let g be the greatest integer function Then the function f(x) = (g(x))² - g(x) is discontinuous at:

Correct Answer: (d) all integers except 1
Solution:

42. The differential equation of minimum order by eliminating the arbitral constants A and C in the equation y = A[sin(x + C) + cos(x + C)] is:

Correct Answer: (d) y'' + y = 0
Solution:

43. Consider the following statements:

Statement I :
x x > sin for all x > 0
Statement II :
f (x) = x - sinx  is an increaser function for all x > 0
Which one of the following is correct is respect of the above statements?

Correct Answer: (b) Both Statement I and Statement II are true and Statement II is not the correct explanation of Statement I

44. Find the answer of given question?

Correct Answer: (d)
Solution:

45. Simplify the equation?

Correct Answer: (b) 1
Solution:

46. Find the answer of given question?

Correct Answer: (b) (α − β) (β − γ) (γ − α)
Solution:

47. Find the answer of given question?

Correct Answer: (b)
Solution:

48. Simplify the question?

Correct Answer: (b) A² = −4A
Solution:

49. Geometrically Re(z² - i) = 2, where i = √-1 and Re is the real part, represents?

Correct Answer: (c) rectangular hyperbola
Solution:

50. Simplify the equation?

Correct Answer: (a) 0
Solution: