quadratic equations class xth answer key
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Quadratic Equations:
Answers:
1. Other root is -3/2 and p = –9
2. Other root is 3/2 and a = –5
3.
4.
5. x
6. (i) x = –a or –b
(ii) x = or
(iii) and
7. (i) or
(ii) or
8. No
9.
10. , other root = 3/2
11. other root = –1/3
12.
13. (i)
(ii)
(iii)
(iv)
(v)
(vi)
(vii)
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14. (i)
(ii)
(iii)
(iv)
15.
16. (i) and
(ii) and
(iii) and
17. 64
18.
19. 13 and 16
20. and or and
21. 36
22. 35
23. 92
24. 12 and 4
25. –10 and –5 or 5 and 10
26. 10 and 6
27. 23
28. 12 cm and 16 cm
29. 12 and 20 cm
30. 20
31. Length of piece = 30 m and cost per meter = Rs. 10
32. 50
33. 20
34. 30
35. 40 km/hr
36. 2.5 hrs
37. 750 km/hr
38. 25 km/hr
39. Faster pipe = 10 minutes
Slower pipe = 15 minutes
40. Faster pipe = 5 minutes
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Slower pipe = 6 minutes
41. Smaller tap = 25 hours
Larger tap = 15 hours
42. Speed of stream = 5 km/hr
43. 6 km/hr
44. Swati age = 9 years, Varun = 27 years
45.
46. 49 years = man, Son = 7 years
47. (i) 12, 13,
(ii) 11, 13
48. 12, 16 or –12, –16
49. (i) 6, 12
(ii) 3, 5
50. 5, 3
51. 45
52. 45
53. 27
54. 84
55. 30, 40, 50
56. 24 m, 8 m
57. 3 cm, larger side = 6 cm
58. 20
59. 50
60. 45 km/hr
61. 60 km/hr
62. 40 km/hr
63.
64. 300 km/hr
65. 3 km/hr
66. 10 km/hr
67. 5 km/hr
68. 3 km/hr
69. 12 years, 6 years
70. (i)
71. or
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72.
75. (i) , (ii) , (iii) , (iv) , (v) , (vi)
76.
77.
78.
79.
81.
82.
83.
84. 5 min, 6 min
85.