# SCC Education

## Co-ordinate geometry Mathematics (Co-ordinate geometry)
1. The point of intersection of X and Y axes is called
(a) zero point   (b) origin            (c) null point                     (d) none of these             (1)
2. The distance of the point (-3, -2) from x-axis is
(a) 2units            (b) 3units           (c) 5units            (d) 13 units       (1)
3. The distance of the point (-6, -2) from y-axis is
(a) 6units            (b) 38 units      (c) 2units            (d) 8units          (1)
4. The abscissa and ordinate of the point with Co-ordinates (8, 12) is
(A) abscissa 12 and ordinate                     (B) abscissa 8 and ordinate 12
(C) abscissa 0 and ordinate 20                   D) none of these             (1)
5. Write the name of each part of the plane formed by Vertical and horizontal lines.(2)
6. Write the Co-ordinates of a point which lies on the x-axis and is at a distance of
4units to the right of origin. Draw its graph(2)
7. Write the mirror image of the point (2, 3) and (-4, -6) with respect to x-axis. (2)
8. Write the Co-ordinates of a point which lies on y-axis and is at a distance of
3units above x-axis. Represent on the graph.(2)
9. Locate the points (5, 0), (0, 5), (2, 5), (5, 2), (-3, 5), (-3, -5) and (6, 1) in the
Cartesian plane.(3)
10. Take a triangle ABC with A (3, 0), B (-2, 1), C (2, 1). Find its mirror image. (3)
11. In which quadrant or on which axis do each of the points (-2, 4), (2, -1), (-1, 0),
(1, 2) and (-3, -5) lie? Verify your answer by locating them on the Cartesian plane.(3)
PART  2

1. The perpendicular bisector of a line segment AB passes through the origin. If the co-ordinates of A are (–2, 0), the co-ordinates of B are:
(a) (0, 2)         (b) (2, 0)            (c) (0, –2)                     (d) (–2, 0)
2. The point (0, 10) lies on :
(a) +ve x-axis (b) –ve x-axis           (c) +ve y-axis            (d) –ve y-axis
3. Which of the following points lies on the y-axis ?
(a) (2, 0)          (b) (0, – 4)        (c) (5, – 1)                  (d) (– 4, 0)
4. The co-ordiantes of a point are (x, y). If the point lies in the 2nd quadrant, then:
(a) x > 0, y > 0 (b) x < 0, y > 0 (c) x < 0, y < 0 (d) x > 0, y < 0
5. A point both of whose co-ordinates are negative will lie in :
6. Points (1, –1), (2, –2), (4, –5), (–3, –4) :
(a) lie in II quadrant (b) lie in III quadrant (c) lie in IV quadrant (d) do not lie in the same quadrant
7. If y co-ordinate of a point is zero, then this point always lies :
(a) in I quadrant (b) in II quadrant (c) on x-axis (d) on y-axis
8. The points (–5, 2) and (2, –5) lie in the :
(c) II and IV quadrants, respectively (d) IV and II quadrants, respectively
9. The points (other than origin) for which abscissa is equal to the ordinate will lie in :
10. Point (–3, 5) lies in the :
11. Signs of the abscissa and ordinate of a point in the second quadrant are respectively:
(a) +, + (b) –, – (c) –, + (d) +, –
12. Point (– 10, 0) lies :
(a) on the negative direction of the x-axis (b) on the negative direction of the y-axis (c) in the third quadrant (d) in the fourth quadrant
13. Abscissa of all the points on the x-axis is :
(a) 0 (b) 1 (c) 2 (d) any number
14. Ordinate of all points on the x-axis is :
(a) 0 (b) 1 (c) – 1 (d) any number
15. A point is at a distance of 3 units from the x-axis and 5 units from the y-axis. Which of the following may be the co-ordinates of the point ?
(a) (5, 3) (b) (–5, 3) (c) (–5, –3) (d) all the above
16. If (x + 1, 4) = (5, y – 1), then the values of x and y are :
(a) x = 4, y = 4 (b) x = 5, y = 4 (c) x = 4, y = 5 (d) x = 5, y = 5 Q. 17. Which of the following points are collinear? (a) P(0, 5), Q(5, 0),R(–5, 0) (b) A(3, 4), B(0, – 7), C(0, 8) (c) X(6, 0), Y(–10, 0), Z (0, 0) (d) L(–3, 0), M(–3, – 4), N(3, 4)
18. The point (2, 7) is at a distance of ___________ units from the y-axis.
(a) 2 (b) 7 (c) 2 + 7 (d) 7 – 2
19. The point whose ordinate is 4 and which lies on y-axis is :
(a) (4, 0) (b) (0, 4) (c) (1, 4) (d) (4, 2)
20. The perpendicular distance of the point P(3, 4) from the y-axis is :
(a) 3 (b) 4 (c) 5 (d) 7
21. The point (–5, 2) and (2, –5) lie in the:
22. The distance of a point (0, –3) from the origin is :
(a) 0 units (b) –3 units (c) cannot be determined (d) 3 units
23. Which of the following points lie on the negative side of x -axis?
(a) (–4, 0) (b) (–3, 2) (c) (0,–4) (d) (5, –7)
24. Ordinate of a point is negative in :
25. The co-ordinates of the point which lies on y-axis at a distance of 4 units in negative direction of y-axis is
(a) (0, 4) (b) (4, 0) (c) (0, –4) (d) (–4, 0)
2 Marks Questions
1. Given point P (3, 4). What is the distance of point P from (a) x axis (b) y axis?
2. 7. Plot the points P (1, 0), Q (4, 0) and S (1, 3). Find the coordinate of the point R such that PQRS is a square.
3. Plot the points A (4, 0), B (4, 4) and C (0, 4) on the graph. Join OA, AB, BC, and CO. Name the figure so formed and measure its sides 4. How many axis and quadrants are there in a Cartesian plane?
5. Plot the points on a graph paper: (a) (3, 4) (b) (-2, 3) (c) (-1,-2) (d) (5,-1)
6. Check wheat her the points (1, 5), (0, 3) lie on the line y = 3 + 2x or not
7. Find the area of the triangle whose vertices are (0, 4), (0, 0) and (2, 0) by plotting them on graph
8. Find the equation of a line parallel to x – axis at a distance of 2 units below x – axis
9. Find the coordinates of the point (a) Which lies on x and y axis both (b) Whose ordinate is – 4 and which lies on y axis (c) Whose abscissa is 5 and which lies on x – axis
10. Write the coordinates of a point left of y – axis and on y – axis at a distance of 6 units
11. Draw the graph of the equation (a)y = 3x (b) x = 4 (c) y = 5
12. A point lies on x-axis at a distance of 9 units from y-axis. What are its coordinates? What will be its coordinates if it lies on y-axis at a distance of –9 units from x-axis?
13. The perpendicular distance of a point from the x-axis is 2 units and the perpendicular distance from the y-axis is 5 units. Write the co-ordinates of such a point if it lies in the : (a) I quadrant (b) II quadrant (c) III quadrant (d) IV quadrant
14. . On the co-ordinate axes, draw a rectangle ABCD, such that its vertices are (4, 3), (4, – 2), (–7, –2) and (– 7, 3) respectively
15. What is the perpendicular distance of the points A(7, – 4) from (i) x-axis (ii) y-axis ?
16. In the figure, if DABC and DABD are equilateral, then find the co-ordinates of points C and D.
17. Mark the points (0, 2), (3, 0), (–3, 0) and (0, –2) on a graph. Join these points. Name the figure obtained and find the area of the figure so obtained.
18. In fig, ABC is a triangle with co-ordinates of A and O as (4, 0) and (0, 0) respectively. AB = 5. Find the co-ordinates of B.
19. Draw the graph of y = 2x + 4. Use the graph to find the area between the line and the axes.
20. Find the point where the line represented by the equation 5y – 3x – 10 = 0 cuts the y-axis.
PART  3
1. In which quadrant or on which axes do each point lies
a) The ordinate is 3 and abscissa is – 4                                 b) The abscissa is – 2 and ordinate is – 3
c) (- 3, 2)                    d) (0, - 4)                     e) (5, 0)
2. Given point P (3, 4). What is the distance of point P from (a) x axis (b) y axis?
3. Plot the points A (4, 0), B (4, 4) and C (0, 4) on the graph. Join OA, AB, BC, and CO. Name the figure so formed and measure its sides
4. How many axis and quadrants are there in a Cartesian plane?
5. Plot the points on a graph paper: (a) (3, 4) (b) (-2, 3) (c) (-1,-2) (d) (5,-1)
6. Check wheat her the points (1, 5), (0, 3) lie on the line y = 3 + 2x or not
7. Find the area of the triangle whose vertices are (0, 4), (0, 0) and (2, 0) by plotting them on graph
8. Find the equation of a line parallel to x – axis at a distance of 2 units below x - axis
9. Find the coordinates of the point (a) Which lies on x and y axis both (b) Whose ordinate is – 4 and which lies on y axis (c) Whose abscissa is 5 and which lies on x – axis
10. Write the coordinates of a point left of y – axis and on y – axis at a distance of 6 units

11. Draw the graph of the equation y = 3x 