Maths 1 week 2 important questions

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1. Q4A line through P(-1,, 3) has slope -3 and passes through Q(3,, k). Find k. Select all the
2. Q5Find the sum of the x-intercept and the y-intercept of the line 2x + 3y + 12 = 0.
3. Q6Find the sum of the x-intercept and the y-intercept of the line 3x + 4y - 12 = 0.
4. Q7Find the sum of the x-intercept and the y-intercept of the line 5x + 2y + 30 = 0.
5. Q8A line passes through (4,, 10) and (1,, 4). At x=-1 the line has y=?
6. Q9A line passes through (2,, -12) and (0,, -6). At x=-1 the line has y=?
7. Q10Which equation represents the line through (1,, 6) and (-2,, -3)?
8. Q11Which equation represents the line through (-2,, 2) and (-3,, 4)?
9. Q12Which equation represents the line through (-2,, 5) and (3,, -5)?
10. Q13The line 2x + 3y + 5 = 0 is perpendicular to the line kx+4y-7=0. Find k.
11. Q14The line 3x + 4y + 5 = 0 is perpendicular to the line kx+9y-7=0. Find k.
12. Q15The line 5x + 2y + 5 = 0 is perpendicular to the line kx+5y-7=0. Find k. Select all the tr
13. Q16The line 2x + 3y - 1 = 0 is parallel to the line kx+6y+4=0. Find k.
14. Q17The line 4x + 3y - 1 = 0 is parallel to the line kx+9y+4=0. Find k.
15. Q18The line 3x + 5y - 1 = 0 is parallel to the line kx+10y+4=0. Find k.
16. Q19Four lines are given: L_1: y=2x + 1 L_2: y=2x - 4 L_3: y=-1/2x + 2 L_4: y=3x Select all th
17. Q20Four lines are given: L_1: y=1/2x + 1 L_2: y=1/2x - 4 L_3: y=-2x + 2 L_4: y=3/2x Select al
18. Q21Four lines are given: L_1: y=-3x + 1 L_2: y=-3x - 4 L_3: y=1/3x + 2 L_4: y=-2x Select all
19. Q22Find the distance between (-1,, -4) and (-7,, 4).
20. Q23Find the distance between (-3,, 1) and (9,, 6).
21. Q24Find the distance between (-4,, 1) and (1,, -11).
22. Q25The point P lies on the segment from A(-5,, -5) to B(4,, -8) and divides it internally in
23. Q26The point P lies on the segment from A(-1,, 1) to B(4,, -9) and divides it internally in t
24. Q27The point P lies on the segment from A(-4,, -5) to B(8,, -9) and divides it internally in
25. Q28P is the midpoint of A(0,, -1) and B(2,, -1). Find the sum of the coordinates of P.
26. Q29Find the distance of the point (1,, 1) from the line 3x + 4y + 8 = 0.
27. Q30Find the distance of the point (-3,, 2) from the line 5x + 12y - 35 = 0.
28. Q31Find the distance of the point (1,, 1) from the line 4x + 3y - 12 = 0.
29. Q32Find the distance of the point (-1,, 1) from the line 8x + 15y - 75 = 0.
30. Q33The line 3x + 4y + c_2 = 0 is parallel to the line 3x + 4y + 9 = 0 and the distance betwee
31. Q34The line 6x + 8y + c_2 = 0 is parallel to the line 6x + 8y + 3 = 0 and the distance betwee
32. Q35Find the distance between the parallel lines 3x + 4y + 7 = 0 and 6x + 8y - 4 = 0.
33. Q36The lines 4x + 3y - 22 = 0 and 2x + y - 10 = 0 meet at the point (x,y). Find x+y.
34. Q37The lines x - y = 0 and -3x + y - 6 = 0 meet at the point (x,y). Find xy.
35. Q38The lines 4x - 2y - 16 = 0 and 2x - 2y - 12 = 0 meet at the point (x,y). Find x+y.
36. Q39The lines -3x + y + 10 = 0 and -2x - 2y - 4 = 0 meet at the point (x,y). Find xy.
37. Q40Two lines have slopes 3 and 1. Find , where is the acute angle between them.
38. Q41Two lines have slopes 2 and 1/3. Find , where is the acute angle between them.
39. Q42Two lines have slopes -2 and 3. Find , where is the acute angle between them. Select all t
40. Q43Find the area of the triangle with vertices (-4,, 4), (2,, 1) and (-2,, 1).
41. Q44Find the area of the triangle with vertices (3,, 4), (-2,, 5) and (0,, 3).
42. Q45Find the area of the triangle with vertices (3,, -3), (1,, -3) and (5,, 0).
43. Q46Find the area of the triangle with vertices (-3,, -4), (-2,, 4) and (1,, -3).
44. Q47The points (-3,, -2), (0,, 1) and (3,, k) lie on one straight line. Find k.
45. Q48The points (0,, 2), (2,, 8) and (3,, k) lie on one straight line. Find k.
46. Q49The points (-3,, -2), (-1,, -6) and (2,, k) lie on one straight line. Find k.
47. Q50The vertices of a triangle are A(0,, 0), B(4,, 0) and C(2,, 3). Select all the true statem
48. Q51The vertices of a triangle are A(1,, 1), B(1,, 4) and C(5,, 1). Select all the true statem
49. Q52The vertices of a triangle are A(0,, 0), B(5,, 1) and C(1,, 5). Select all the true statem
50. Q53Plan A costs ₹199 a month and includes 60 free minutes, then ₹2 per extra minute. Plan B c
51. Q54Plan A costs ₹199 a month and includes 100 free minutes, then ₹3 per extra minute. Plan B
52. Q55Plan A costs ₹199 a month and includes 60 free minutes, then ₹2 per extra minute. Plan B c
53. Q56Plan A costs ₹199 a month and includes 100 free minutes, then ₹3 per extra minute. Plan B
54. Q57Two options for a gym: Option 1 charges ₹300 fixed plus ₹40 per unit; Option 2 charges ₹10
55. Q58Two options for a taxi: Option 1 charges ₹50 fixed plus ₹12 per unit; Option 2 charges ₹20
56. Q59Two options for a data pack: Option 1 charges ₹500 fixed plus ₹25 per unit; Option 2 charg
57. Q60A quantity depends linearly on x. When x=3 its value is 31 and when x=1 it is 13. What is
58. Q61A quantity depends linearly on x. When x=3 its value is 17 and when x=8 it is 62. What is
59. Q62A quantity depends linearly on x. When x=5 its value is 30 and when x=2 it is 24. What is
60. Q63A quantity depends linearly on x. When x=5 its value is 19 and when x=9 it is 31. What is
61. Q64The line y=3x + 5 is used to fit the data points (3,17),, (4,20),, (5,22),, (6,25). Find t
62. Q65The line y=2x - 3 is used to fit the data points (3,1),, (4,5),, (6,7),, (7,13). Find the
63. Q66The line y=3x + 1 is used to fit the data points (3,11),, (4,11),, (6,19),, (7,22). Find t
64. Q67The line y=-2x + 2 is used to fit the data points (3,-1),, (4,-6),, (5,-8),, (7,-14). Find
65. Q68The line y=3x - 3 is used to fit the data points (1,-1),, (2,6),, (4,8),, (6,14). Find the
66. Q69To fit the data (8,-7),, (7,-10),, (2,-1),, (1,0) the line y=-1x+c is used, with c chosen
67. Q70To fit the data (1,-1),, (5,11),, (4,9),, (2,1) the line y=3x+c is used, with c chosen to
68. Q71To fit the data (8,8),, (3,3),, (7,5),, (5,7) the line y=1x+c is used, with c chosen to ma
69. Q72To fit the data (7,24),, (3,13),, (4,13),, (6,22) the line y=3x+c is used, with c chosen t
70. Q73To fit the data (7,-6),, (5,-1),, (1,1),, (4,1) the line y=-1x+c is used, with c chosen to
71. Q74A line through the origin, y=mx, is fitted to the points (3,10),, (5,14),, (1,5) by making
72. Q75A line through the origin, y=mx, is fitted to the points (5,9),, (1,3),, (4,9) by making t
73. Q76A line through the origin, y=mx, is fitted to the points (3,7),, (4,11),, (5,17) by making
74. Q77A ladder leans against a vertical wall so that it makes an angle of 45 with the ground. It
75. Q78A ladder leans against a vertical wall so that it makes an angle of 45 with the ground. It
76. Q79A ladder leans against a vertical wall so that it makes an angle of 45 with the ground. It
77. Q80A ladder leans against a vertical wall so that it makes an angle of 45 with the ground. It
78. Q81A river flows along the x-axis. A village A is at (0,2) and a school B is at (12,3), both
79. Q82A river flows along the x-axis. A village A is at (0,3) and a school B is at (15,5), both
80. Q83A river flows along the x-axis. A village A is at (0,4) and a school B is at (6,4), both o
81. Q84The line 2x+3y=12 and the two coordinate axes enclose a triangle. Find its area.
82. Q85The line 4x+5y=40 and the two coordinate axes enclose a triangle. Find its area.
83. Q86The line 3x+2y=18 and the two coordinate axes enclose a triangle. Find its area.
84. Q87The line 5x+4y=60 and the two coordinate axes enclose a triangle. Find its area.
85. Q88A road is the perpendicular bisector of the segment joining A(1,, 2) and B(5,, 4). At what
86. Q89A road is the perpendicular bisector of the segment joining A(0,, 1) and B(4,, 5). At what
87. Q90The figure shows two lines, L_1 and L_2, with the points where they cross the axes marked.
88. Q91Two straight roads L_1 and L_2 are drawn on a map grid, and their crossings with the axes
89. Q92In the figure, L_1 and L_2 are straight lines whose axis crossings are marked, and (x,y) i
90. Q93Find the area of the triangle ABC drawn in the figure.
91. Q94The figure shows a triangle with vertices A, B and C. Calculate its area.
92. Q95The figure shows a triangle ABC. Select all the true statements.
93. Q96The figure shows five data points and the line y=-x + 2. Find the sum of squared errors (S
94. Q97The figure shows five data points and the line y=x + 3. Find the sum of squared errors (SS
95. Q98The figure shows five data points and the line y=2x + 1. Find the sum of squared errors (S
96. Q99Four lines L_1,L_2,L_3,L_4 are drawn in the figure. Select all the true statements.
97. Q100Look at the four lines L_1,L_2,L_3,L_4 in the figure. Which of the following statements ar