PHYSICS MATHS 2 ONAM VACCATION WORK ANSWERS | DEEPU THOMAS NIRMALAGIRI COLLEGE MATHS ASSIGNMENT ENTRY TEST 2

 

Here’s the solved key from Q.101 – Q.200:

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101. tanθ>0, sin<0, secθ<0
102. 1,2,3
103. origin=(0,0), any point on y-axis has x=0
104. sinx=4/5, cosx=−3/5, secx=5/3
105. value positive, lies in 3rd quadrant, tan(225°)=1
106. (4,5)
107. 5
108. 2
109. (1,2),(2,4),(3,6); (−1,−2),(0,0),(1,2); (0,0),(1,1),(2,2); (−1,−1),(0,0),(−2,−2)
110. y=2x+1, y−y₁=m(x−x₁), x+y=5
111. (a+b)², a²−b², (a+b)³
112. x²+3x+2, x²=4x−3
113. 4, −4
114. (x−3)(x+3)
115. x²−2=0, x²+1=0, x²−5=0
116. x²+4x+4=0, x²−6x+9=0, x²+2x+1=0
117. b²−4ac>0 ⇒ real & unequal; a=0 ⇒ linear; b²−4ac<0 ⇒ complex conjugates
118. x=−1, x=−4
119. x=2
120. x²+3x+2, 4x³−2x+1
121. 3!=6, 4!=24, 0!=1
122. 7C₃, 35
123. nPr=n!/(n−r)!, nCr=n!/(r!(n−r)!)
124. 5P₂=20, 5C₂=10, 4P₂=12
125. 24, 4P₃
126. 24
127. nCr formula, 5C₂=10, order doesn’t matter, all of these
128. nPr formula, order matters
129. 6C₂=6C₄, 5P₃=60, arranging “dog”=6
130. arranging books, arranging students, forming 3-digit numbers
131. Mode=7, Mean=9, Median=8
132. mode=7, median=7, mean=6.71
133. 2,2,2,3,4,5; 1,10,10,2,3,10
134. 1,2,3,4,5 ; 7,8,9,10
135. 5th number=15, total sum=100
136. if today Monday ⇒ tomorrow Tuesday, all squares are rectangles, if 5>3 ⇒ 3<5
137. all even divisible by 2, zero > negative, sum of 2 odd = even
138. A or B true, not A false, A and not B true
139. A and B, A or B
140. if it rains ⇒ umbrella, contrapositive (if no umbrella ⇒ no rain)
141. head, tail
142. 1,2,4,3
143. 0, 0.5, 1
144. red ball, green ball, green/blue ball
145. total=8, P(red)=5/8, P(blue)=3/8
146. {1}, {2,3}, { }, all of these
147. {3}
148. {2}
149. 16
150. A−B={1,2}, A∩B={3,4}, B−A={5,6}, A∪B={1,2,3,4,5,6}
151. Aˡ={1,3,5,7}, n(U)=7, n(A)=3
152. A∪A=A, A∩A=A, empty set subset of every set
153. n(P(A))=4, P(A)={Φ,{a},{b},{a,b}}
154. only English=24, only Hindi=18, both=12, at least one=60
155. 20
156. AB defined 2×4
157. detA=detA′, detI=1, if two rows equal ⇒ det=0
158. 0
159. 0
160. If A²=I ⇒ A⁻¹=A; det=0 ⇒ non-invertible
161. age, teacher, sex
162. f(x)=x, f(x)=2x+1
163. f(x)=2x+1, f(x)=x, f(x)=sinx → [−1,1]
164. invertible ⇔ bijective, if has inverse ⇒ bijective
165. one-one, onto, invertible
166. function, onto, not invertible
167. x², sinx, cosx
168. domain x≥2, range [0,∞)
169. mapping height to people
170. f(x)=1/x, f(x)=x+1
171. i=√−1, i²=−1, i³=−i, i⁴=1
172. 3+0i, 0, √3, π
173. Re=3, |Z|=5, Im=4
174. 1
175. (1+i)/2
176. non-negative, continuous at x=3, increasing in (3,∞)
177. x³, sinx, eˣ
178. differentiable all x, f′(x)=3x²−3, decreasing on (−1,1)
179. eˣ, 5eˣ
180. x², |x|
181. (0,1), (3,∞)
182. local max at x=1, local min at x=2
183. slope=4, tangent y=4x−4
184. a=2, uniform accel., v(t)=2t+2
185. rate of change, maxima & minima, concavity
186. ∫xdx=x²/2+C, ∫cosxdx=sinx+C, ∫1/xdx=ln|x|+C
187. x²+x+c
188. sinx, sinx+5
189. ∫1dx=x+c, ∫5dx=5x+c, ∫0dx=c
190. all except ∫dx=x+c (should be x+C)
191. (1/√2,1/√2)
192. vector with all components 0
193. A+B=i+8j, |A+B|=√65, A−B=3i−2j, |A−B|=√13
194. A+B=0i+6j, A & B perpendicular
195. force, displacement, acceleration
196. max when same dir., zero when ⟂, can be negative
197. dot→cosθ, cross→sinθ; dot scalar, cross vector; both distributive
198. dot→angle, cross→⊥ vector, dot with itself=magnitude²
199. A⋅B=−5, formula correct
200. A×B along −k, ⊥ to both

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Answers option number 

Here you go—answers by option number(s) only:

1. 1,2,4

2. 1,2,3

3. 1,3

4. 1,2,3

5. 1,2,4

6. 1

7. 1,2

8. 1,4

9. 1,3,4,5

10. 1,2,4

11. 1,3,4

12. 1,3

13. 1,2

14. 1

15. 1,4

16. 1,2,4

17. 2,3,4

18. 4,5

19. 1

20. 1,3

21. 1,2,5

22. 1,2

23. 1,2

24. 1,2,3

25. 1,4

26. 2

27. 1,2,4

28. 1,4

29. 1,2,4

30. 1,3,4

31. 1,3

32. 1,2,3

33. 3

34. 1,4

35. 1,3

36. 2,3,4

37. 1,2,4

38. 2,3,4

39. 1,2

40. 2,3

41. 1,2

42. 1,2,4,5

43. 1,2,5

44. 1,3,4

45. 1,2,4

46. 1,2,4

47. 2

48. 3

49. 1

50. 1,2,3,4

51. 1,2,3

52. 1,3,4

53. 2,4

54. 1,3

55. 4

56. 1

57. 1,2,3

58. 1

59. 2

60. 2,3

61. 1,2,3

62. 1,5

63. 2,3,4

64. 1,2

65. 1,2,3

66. 1,4

67. 1,4,5

68. 1,2

69. 4

70. 4

71. 1,2

72. 1,3,4,5

73. 1,2,4

74. 4,5

75. 1,2,4

76. 2,3,4

77. 1,2,4

78. 1,2,4

79. 1,3,4

80. 1,4

81. 1,3,4

82. 2

83. 1,3

84. 2,3,4

85. 1,3,4

86. 1,2,3

87. 1

88. 1,3

89. 1,2,3

90. 1,2,4

91. 1,3

92. 2

93. 1,2,3,4

94. 1,2

95. 1,3,4

96. 1,2,4

97. 1,2,4

98. 1,2,3

99. 1,2

100. 2,3,4