Mathematics NDA/NA SOLVED PAPER 2018 (I) (51 to 100)Total Questions: 5041. The order and degree of the differential equation y² = 4a(x - a), where 'a' is an arbitrary constant, are respectively:(a) 1, 2(b) 2, 1(c) 2, 2(d) 1, 1Correct Answer: (a) 1, 2Solution:42. Simplify the equation?(a)(b)(c)(d)Correct Answer: (c)Solution:43. Simplify the equation?(a) − 1, 1(b) 1, 1(c) 0, 0(d) 2, −2Correct Answer: (a) − 1, 1Solution:44. Simplify the equation?(a) 1/110(b) 1/132(c) 1/148(d) 1/240Correct Answer: (a) 1/110Solution:45. Simplify the question?(a) 1/2(b) 1(c) 2(d) Limit does not existCorrect Answer: (a) 1/2Solution:46. Find the answer of given equation?(a)(b)(c)(d)Correct Answer: (d)Solution:47. If f(x) is an even function, where f(x) ≠ 0, then which one of the following is correct?(a) f′(x) is an even function(b) f′(x) is an odd function(c) f′(x) may be an even or odd function depending on the type of function(d) f′(x) is a constant functionCorrect Answer: (b) f′(x) is an odd functionSolution:48. Simplify the equation?(a)(b)(c)(d)Correct Answer: (c)Solution:49. What is the solution of (1 + 2x)dy - (1 - 2y)dx = 0?(a) x − y − 2xy = c(b) y − x − 2xy = c(c) y + x − 2xy = c(d) x + y + 2xy = cCorrect Answer: (a) x − y − 2xy = cSolution:50. Simplify the equation?(a) 4, 5(b) 2, 3(c) 3, 2(d) 5, 4Correct Answer: (c) 3, 2Solution:Submit Quiz« Previous12345