AP 9th Maths Mock Test 2021 For Chapter – 5 : “Co – Ordinate Geometry” Online Practice Test

1. If ( x + 1 , 4) = (5 , y - 1) then find the values of x and y
2. If A(3 , 2 ) , B(-5 , 2) , C(-5 , 7) and D(3 , 7 ) then the diagram ABCD is
3. If A(3 , 2 ) , B(-5 , 2) , C(-5 , 7) and D(3 , 7 ) then the area of rectangle ABCD is
4. The distance between points A(3 , 2) and B(-5 , 2) is
5. A trapezium ABCD has its coordinates A(3 , 0) , B(8 , 0) , C(5 , 3) and D(6 , 3 ) then its area will be
6. The length of diagonal of a square whose two vertices are P(0 , -3) and Q(0 , 4) is .............. units
7. A rhombus PQRS has side length equal to 5 units , where P(0 , 0) , Q(6 , 0) , R(3 , 4) then the co-ordinates of S will be
8. Area of triangle formed by points A(3 , 0) , B(0 , -4) , C(0 , 4) will be ................. sq.units
9. Based on given points name the WXYZ
W(2 , 2) , X(6 , 2) , Y(8 , 5) and Z(4 , 5)
10. Area of WXY is if the co-ordinates are W(2 , 2) , X(6 , 2) and Y(8 , 5)
11. Which of the following graph represents the point P(-a , b) when a < 0 , b < 0 ?
12. Which of the following represents the point (-2 , 5) ?
13. Which of the following is not related ?
14. Assertion A : The co-ordinate of a point are (x , y) . If the point lies in the 2nd quadrant then x < 0 , y > 0
Reason R : The signs of the abscissa and ordinate of a point in the second quadrant are (+ , -)
15. Assertion A : y - coordinate of a point lying on X-axis is always '0'
Reason R : X-axis is denoted by the equation y = 0
16. Assertion A : The figure formed by joining the points A(2 , 3) , B(-4 , 3) , C(-4 , -2) and D(2 , -2) is square
Reason R : The area of the figure is 30 sq.units
17. Assertion A : Point(-10 , 0) lies on the negative direction of X-axis
Reason R : Abscissa of all points on the X-axis is any integer
18. Assertion A : The perpendicular distance of the point P(3 , 4) from the Y-axis is 3 units
Reason R : The point P(3 , 4) lies in I-Quadrant
19. Match the following
1. Equation of X-axis                         ( ) P. Q3
2. Equation of Y-axis                         ( ) q. y = 0
3. If x < 0 , y < 0 then (x , y) lies in  ( ) r. Q2
4. If x < 0 , y > 0 then (x , y) lies in  ( ) s. x = 0
20. The area of the triangle formed by A(2 , 0) , B(6 , 0) and C(4 , 6) is
21. The intersection of X and Y axes is called
22. Which of these points is nearer to Y-axis ?
23. What is the distance o the point (3 , 2) from the Y-axis ?
24. Where does the point (0 , -5) lie ?
25. Which of the following points lie on x-axis ?
P(0 , 2) , Q(0 , 6) , R(-3 , 0) , S(0 , -3) , T(0 , 4) , U(6 , 0) , V(3 , 0)
26. Which of the following statement is true ?
27. Equation of X - axis is
28. The points for which abscissa is equal to the ordinate will lie in
29. If the point (x1 , y1) lies in Q2 and the point (x2 , y2) lies in Q3 then (x1 , y2) lies in
30. (4 , 0) , (-3 , 0) , (3 , 4) , (0 , 4) which of these is nearest to origin ?
31. One of the solution for a point in quadrant II
32. Among the following points that lies only on X-axis is
33. Match the following
1. (-2 , 3)         ( ) a. Q1
2. (4 , 2)          ( ) b.Q2
3. (-4 , -6)       ( ) c. Q3
4. (3 , -6)        ( ) d. Q4
34. Statement I : The meeting point of X-axis and Y-axis is known as 'origin'
Statement II : In the co-ordinate system (a , b) = (b , a)
Statement III : x - coordinate is called abscissa
35. Statement I : The meeting point of X-axis and Y-axis is known as 'origin'
Statement II : If y = 0 then  the point lies on X-axis
Statement III : If x > 0 , y < 0 then the point (x , y) lies in Q2
36. If a point P(x , y) is in Q4 then identify the correct statement among these ?
37. Match the following
1. The equation of X-axis is                                       ( ) P. x = k
2. The equation of a line parallel to Y-axis is         ( ) Q. y = 0
3. The equation of line passing through origin is ( ) R. y = x
38. P(5 , 0) , Q(-6 , 0) , R(0 , -6) , S(0 , 4) are the points in a Cartesian plane . If 'T' is a point on the line passing through PQ and also on the line passing through RS then T =
39. From the below graph , What are the coordinates of point 'C' ?
40. What are the coordinates of point 'E' ?
41. Points A(-a , -a) , B(a , -a) , C(a , a) and D(x , y) from a square . In which of the following quadrants does the point D lie ?
42. A point is at a distance of 5 units from the X-axis and 3 units from the Y-axis then which of the following may be the co-ordinate of the point ?
43. From the below graph , what are the coordinates of point 'D' ?
44. From the below graph , what is the y - coordinates of point 'F' ?
45. If a point is at distance of 3 units from X-axis and 5 units from Y-axis then the points satisfies the condition in Q1 , Q2 , Q3 , Q4 are
46. Plot the points P(0 , 1) , Q(4 , 0) and S(1 , 3) . Find the coordinate of the point R such that PQRS is square
47. Which quadrilateral is formed by joining the points (1 , ) ,(2 , 4) , (8 , 4) and (10 , 1) ?
48. What is the x-coordinate of point 'C' ? from the below graph
49. The area of triangle formed by P(0 , 1) , Q(0 , 5) and R(3 , 4) is
50. The area of equilateral triangle whose two vertices are (3 , 0) and (4 , 0) will be ........... sq.units
51. A circle has its centre (3 , 5) has its point of tangency (3 , 0) .The area of circle will be ....... sq.units
52. How many quadrants we have ?
53. In the point A(3 , -4) the x -coordinate of A is
54. In point B(8 , 9) the y - coordinate of B is
55. If x > 0 , y > 0 then (x , y) belongs to
56. x < 0 , y > 0 then (x , y) belongs to
57. If x < 0 , y > 0 then (x , y) belongs to
58. If x > 0 , y < 0 then (x , y) belongs to
59. The order pair (x , y).........order pair (y , x)
60. Which of the following are points lie on X-axis ?
61. The Y - coordinate is ...... for all points lie on X-axis
62. Which of the following are points lie on Y-axis ?
63. The X-coordinate is .......... for all points lie on Y-axis
64. Which axis the points (0 , x) , (0 , y) lie on ?
65. The general form of of points which lie on X - axis ?
66. (-2 , 3) belongs to
67. (5 , -3) belongs to
68. (-7 , -6)  belongs to
69. (4 , 2) belongs to
70. x = 0 , y belongs to R then (x , y) lies on
71. x belongs to R , y = 0 then (x , y) lies on
72. The ordinate for (4 , -9) is
73. The abscissa for (5 , 6) is
74. Y-axis is also known as
75. Abscissa is another name for
76. In a Cartesian plane , the vertical line called as
77. In a Cartesian plane , the horizontal line called as
78. The intersection of both axes are called
79. If x < 0 , y < 0 then -x > 0 , -y > 0 and so (-x , -y) belongs to
80. The relation between (5 , -8) and (-8 , 5) is
81. Find the area of rectangle (0 , 0) , (0 , 3) , (4 , 3) , (4 , 0) by using graph
82. Find the area of triangle with points(2 , 3) , (6 , 3) , (4 , 7) using graph sheet
83. In the (a , -9) the ordinate is
84. Form a point with abscissa 4 and ordinate is 7 is
85. With abscissa 7 and ordinate -3 then the point is
86. (-6 , -8) belongs to
87. here D is
88. here C is
89. (0 , 13) lies on
90. (0 , 0) lies on
91. From point (0 , 0) , which of the following is true ?
92. (0 , 0) lies on both axes because
93. The points (1 , 2) , (1 , 3) , (1 , -4) , (1 , 0) form .......................... on graph sheet
94. The points (5 , 4) , (8 , 4) , (3 , 4) and (0 , 4) form a ................... on graph sheet
95. Co-ordinate is a combination of
96. y = 0 is equation for
97. (0 , -8) lie on
98. (-9 , 0) lies on
99. (0 , 5) lies on
100. (10 , 0) lies on