Maths 1 week 3 important questions

More questions in this week

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1. Q4Find the smaller root of 2x2 - 16x + 30=0. Select all the true statements about the value
2. Q5Find the sum of the roots of 3x2 - 12=0.
3. Q6Find the product of the roots of x2 + x - 2=0.
4. Q7Find the larger root of 2x2 - 10x + 12=0.
5. Q8Find the smaller root of x2 - 10x + 24=0.
6. Q9Find the sum of the roots of 3x2 + 9x + 6=0.
7. Q10Find the larger root of x2 + 11x + 30=0.
8. Q11Find the product of the roots of 2x2 + 10x + 12=0.
9. Q12For f(x)=x2 - 2x - 4, find h+k, where (h,k) is the vertex. Select all the true statements
10. Q13For f(x)=-3x2 + 6x - 4, find the x-coordinate of the vertex.
11. Q14For f(x)=3x2 + 2, find the minimum value.
12. Q15For f(x)=x2 - 2x + 9, find h+k, where (h,k) is the vertex.
13. Q16For f(x)=-3x2 + 4, find the x-coordinate of the vertex.
14. Q17For f(x)=-2x2 - 8x - 13, find the maximum value.
15. Q18For f(x)=x2 - 2x - 4, find h+k, where (h,k) is the vertex.
16. Q19For f(x)=x2 + 4x - 2, find the x-coordinate of the vertex.
17. Q20How many real roots does x2 + 6x - 1=0 have?
18. Q21How many real roots does 2x2 + 4x + 4=0 have?
19. Q22How many real roots does 2x2 - 12x + 18=0 have?
20. Q23How many real roots does -2x2 + 2x + 1=0 have?
21. Q24How many real roots does 3x2 - 5x + 4=0 have?
22. Q25Find the discriminant of -x2 + 6x - 9=0.
23. Q26Find the discriminant of 3x2 + 5x - 4=0.
24. Q27Find the discriminant of x2 + 3x + 5=0.
25. Q28Find the discriminant of -x2 + 4x - 4=0.
26. Q29Find the discriminant of -x2 - 2x + 1=0.
27. Q30A parabola y=ax2+bx+c passes through (0,-5), (1,0) and (2,11). Find a.
28. Q31A parabola y=ax2+bx+c passes through (0,0), (1,4) and (2,14). Find b.
29. Q32A parabola y=ax2+bx+c passes through (0,-3), (1,-4) and (2,-1). Find a+b.
30. Q33A parabola y=ax2+bx+c passes through (0,4), (1,3) and (2,0). Find a-b. Select all the true
31. Q34A parabola has roots -2 and 3 and passes through (0,6). What is its value at x=4?
32. Q35A parabola has roots 3 and 5 and passes through (0,-15). What is its value at x=-1?
33. Q36A parabola has roots -4 and 3 and passes through (0,-12). What is its value at x=1?
34. Q37A parabola has roots 5 and -4 and passes through (0,20). What is its value at x=0?
35. Q38A parabola has its vertex at (-2,-3) and passes through (-1,-1). Find its value at x=-6.
36. Q39A parabola has its vertex at (-2,-5) and passes through (1,4). Find its value at x=-4.
37. Q40A parabola has its vertex at (2,-6) and passes through (4,2). Find its value at x=1.
38. Q41A parabola has its vertex at (-2,-4) and passes through (-1,-6). Find its value at x=-3. S
39. Q42Let f(x)=x2 - 4x + 3. Select all the true statements.
40. Q43Let f(x)=-2x2 + 4x + 6. Select all the true statements.
41. Q44Let f(x)=x2 + 2x + 5. Select all the true statements.
42. Q45Let f(x)=2x2 - 8x + 8. Select all the true statements.
43. Q46The parabola y=x2-mx+1 touches the line y=x - 3 (meets it at exactly one point). Find the
44. Q47The parabola y=x2-mx+10 touches the line y=2x + 1 (meets it at exactly one point). Find th
45. Q48The parabola y=x2-mx+8 touches the line y=-x + 4 (meets it at exactly one point). Find the
46. Q49The parabola y=x2-mx+-1 touches the line y=3x - 2 (meets it at exactly one point). Find th
47. Q50For how many integer values of m does the parabola y=x2-mx+7 NOT meet the line y=x - 3?
48. Q51How many points do the parabola y=x2-4x+7 and the line y=12 have in common?
49. Q52How many points do the parabola y=x2-4x+7 and the line y=3 have in common?
50. Q53How many points do the parabola y=x2-4x+7 and the line y=1 have in common?
51. Q54A rectangular plot has a fixed perimeter of 40 m. What is the largest possible area (in sq
52. Q55A rectangular plot has a fixed perimeter of 56 m. What is the largest possible area (in sq
53. Q56A rectangular plot has a fixed perimeter of 72 m. What is the largest possible area (in sq
54. Q57A farmer has 40 m of fencing and wants to enclose a rectangular field against a straight w
55. Q58A farmer has 60 m of fencing and wants to enclose a rectangular field against a straight w
56. Q59A ball is thrown upwards from the ground and its height after t seconds is h(t)=-5t2+20t m
57. Q60A ball is thrown upwards from the ground and its height after t seconds is h(t)=-5t2+30t m
58. Q61A ball is thrown upwards from the ground and its height after t seconds is h(t)=-5t2+45t m
59. Q62A ball is thrown upwards from the ground and its height after t seconds is h(t)=-5t2+20t m
60. Q63A ball is thrown upwards from the ground and its height after t seconds is h(t)=-5t2+30t m
61. Q64A shop sells x items a day and its daily profit is P(x)=-2x2+80x-150 rupees. Find the maxi
62. Q65A shop sells x items a day and its daily profit is P(x)=-1x2+60x-500 rupees. Find the maxi
63. Q66A shop sells x items a day and its daily profit is P(x)=-5x2+200x-600 rupees. Find the max
64. Q67A group of friends shares a bill of ₹300 equally. If 5 more friends had joined, each would
65. Q68A group of friends shares a bill of ₹500 equally. If 5 more friends had joined, each would
66. Q69A group of friends shares a bill of ₹360 equally. If 4 more friends had joined, each would
67. Q70Two positive numbers add up to 13 and their product is 40. Find the larger number.
68. Q71Two positive numbers add up to 21 and their product is 110. Find the larger number.
69. Q72The parabolas y=x2 + 4x and y=-x2 + 8x + 6 meet at two points. Find the distance between t
70. Q73The parabolas y=x2 + x - 2 and y=-x2 + 11x - 10 meet at two points. Find the sum of the x-
71. Q74The parabolas y=x2 + 2x - 4 and y=-x2 + 2x + 4 meet at two points. Find the sum of the y-c
72. Q75The parabolas y=x2 + 3 and y=-x2 + 10x + 3 meet at two points. Find the distance between t
73. Q76The parabolas y=x2 + 4x and y=-x2 + 6 meet at two points. Find the sum of the x-coordinate
74. Q77The parabolas y=x2 + 2x - 1 and y=-x2 + 18x - 25 meet at two points. Find the sum of the y
75. Q78How many integers x satisfy x2 - 5x + 4<0?
76. Q79How many integers x satisfy x2 - x - 6<0?
77. Q80How many integers x satisfy x2 - 9x + 14<= 0?
78. Q81How many integers x satisfy x2 + x - 6<= 0?
79. Q82Solve x2 - 4x - 5>0.
80. Q83Solve x2 - 5x + 6>0.
81. Q84Solve x2 + 3x - 4>0.
82. Q85The figure shows the graph of a quadratic y=f(x) with its x-intercepts and y-intercept mar
83. Q86The figure shows the graph of a quadratic y=f(x) with its x-intercepts and y-intercept mar
84. Q87The figure shows the graph of a quadratic y=f(x) with its x-intercepts and y-intercept mar
85. Q88The figure shows the graph of a quadratic y=f(x) with its x-intercepts and y-intercept mar
86. Q89The figure shows the curve y=x2 - 6x + 8 and three horizontal lines L_1,L_2,L_3 (the lines
87. Q90The figure shows the curve y=-x2 + 4x and three horizontal lines L_1,L_2,L_3 (the lines ar
88. Q91The figure shows the curve y=x2 - 2x - 3 and three horizontal lines L_1,L_2,L_3 (the lines
89. Q92The figure shows y=f(x)=(x-a)(x-b) and y=g(x)=-(x-c)(x-d), with their x-intercepts marked.
90. Q93The figure shows y=f(x)=(x-a)(x-b) and y=g(x)=-(x-c)(x-d), with their x-intercepts marked.
91. Q94The figure shows y=f(x)=(x-a)(x-b) and y=g(x)=-(x-c)(x-d), with their x-intercepts marked.
92. Q95The figure shows the graph of f(x)=ax2+bx+c. Select all the true statements.
93. Q96The curve in the figure is y=ax2+bx+c. Which of the following statements are true?
94. Q97A quadratic f(x)=ax2+bx+c is drawn in the figure. Choose all the correct statements about
95. Q98Study the graph of y=ax2+bx+c in the figure and select every statement that is true.
96. Q99The figure shows a parabola with its vertex and one more point marked. Find the value of t
97. Q100The figure shows a parabola with its vertex and one more point marked. Find the value of t