CBSE Class 9 Coordinate Geometry Sure Shot Questions

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Study Material for Class 9 Mathematics Chapter 3 Coordinate Geometry

Class 9 Mathematics students should refer to the following Pdf for Chapter 3 Coordinate Geometry in Class 9. These notes and test paper with questions and answers for Class 9 Mathematics will be very useful for exams and help you to score good marks

Class 9 Mathematics Chapter 3 Coordinate Geometry

 

CBSE Class 9 Coordinate Geometry Sure Shot Questions. There are many more useful educational material which the students can download in pdf format and use them for studies. Study material like concept maps, important and sure shot question banks, quick to learn flash cards, flow charts, mind maps, teacher notes, important formulas, past examinations question bank, important concepts taught by teachers. Students can download these useful educational material free and use them to get better marks in examinations.  Also refer to other worksheets for the same chapter and other subjects too. Use them for better understanding of the subjects.

1. Which of the following points lie in I and II quadrants?

(1, 1), (2, –3), (–2, 3), (-1, 1), (–3, –2), (4, 3)

2. Which of the following points lie on (a) x-axis (b) y-axis?

(5, 1), (8, 0), (0, 4), (–3, 0), (0, –3), (0, 5), (0, 0)

3. If the x-coordinate of a point is negative, it can lie in which quadrants?

4. From the figure, write the coordinates of the point P, Q, R and S. Does the line joining P and Q pass through origin?

useful-resources-coordinate-geometry-cbse-class-9

5. Write the coordinates of the following points:

(i) lying on both axes

(ii) lying on x-axis and with x-coordinate 4

(iii) lying on y-axis with y-coordinate –3.

6. The coordinates of the three vertices of a rectangle ABCD are A(3, 2), B(–4, 2), C(–4, 5). Plot these points and write the coordinates of D.

7. ABC is an equilateral triangle as shown in the figure. Find the coordinates of its vertices.

useful-resources-coordinate-geometry-cbse-class-9-2

8. Plot the following points on a graph paper:

Join these points. What do you observe?
 CBSE Class 9 Coordinate Geometry Sure Shot Questions
9. What is the name of horizontal and the vertical lines drawn to determine the position of any point in the Cartesian plane?
 
10. What is the name of each part of the plane formed by these two lines?
 
11. Write the name of the point where these two lines intersect.
 
12. Locate the points (5, 0), (0, 5), (2, 5), (5, 2), (–3, 5), (–3, –5), (5, –3) and (6, 1) in the Cartesian plane.
 
13. Draw the line passing through (2, 3) and (3, 2). Find the coordinates of the points at which this line meets the x-axis and y-axis.
 
14. Locate the coordinates of labelled points A, B, C, D, E, F, G and H in the following diagram:
 CBSE Class 9 Coordinate Geometry Sure Shot Questions
15. Plot the following ordered pairs of number (x, y) as points in the Cartesian plane. Use the scale 1cm = 1 unit on the axes.
 CBSE Class 9 Coordinate Geometry Sure Shot Questions
16. In which quadrant or on which axis do each of the points (– 2, 4), (3, – 1), (– 1, 0), (1, 2) and (– 3, – 5) lie? Verify your answer by locating them on the Cartesian plane.
 CBSE Class 9 Coordinate Geometry Sure Shot Questions
 
19. Plot the following points and verify if they lie on a line. If they lie on a line, name it.
 
(i) (0, 2), (0, 5), (0, 6), (0, 3.5) (ii) A (1, 1), B (1, 2), C (1, 3), D (1, 4)
 
(iii) K (1, 3), L (2, 3), M (3, 3), N (4, 3) (iv) W (2, 6), X (3, 5), Y (5, 3), Z (6, 2)
 
20. Plot the following points on a graph sheet. Verify if they lie on a line
 
(a) A(4, 0), B(4, 2), C(4, 6), D(4, 2.5)
 
(b) P(1, 1), Q(2, 2), R(3, 3), S(4, 4)
 
(c) K(2, 3), L(5, 3), M(5, 5), N(2, 5)
 
21. In which quadrant or on which axis do each of the points (5, 0), (0, 5), (2, 5), (5, 2), (–3, 5), (–3, –5), (5, –3) and (6, 1) in the Cartesian plane.
 
22. Plot the points A (4, 4) and (–4, 4) on a graph sheet. Join the lines OA, OB and BA. What figure do you obtain.
CBSE Class 9 Coordinate Geometry Sure Shot Questions 
 
24. Plot the point P (– 6, 2) and from it draw PM and PN as perpendiculars to x-axis and y-axis, respectively. Write the coordinates of the points M and N.
 
25. Plot the following points and write the name of the figure thus obtained : P(–3, 2), Q (–7, –3), R (6, –3), S (2, 2)
 
26. Plot the following points and check whether they are collinear or not :
(i) (1, 3), (– 1, – 1), (– 2, – 3)
(ii) (1, 1), (2, – 3), (– 1, – 2)
(iii) (0, 0), (2, 2), (5, 5)
 CBSE Class 9 Coordinate Geometry Sure Shot Questions
 
30. Without plotting the points indicate the quadrant in which they will lie, if
 
(i) ordinate is 5 and abscissa is – 3
 
(ii) abscissa is – 5 and ordinate is – 3
 
(iii) abscissa is – 5 and ordinate is 3
 
(iv) ordinate is 5 and abscissa is 3
 
31. In which quadrant or on which axis each of the following points lie?
 
(– 3, 5), (4, – 1), (2, 0), (2, 2), (– 3, – 6)
 
32. In the below Figure, LM is a line parallel to the y-axis at a distance of 3 units.
 
(i) What are the coordinates of the points P, R and Q?
 
(ii) What is the difference between the abscissa of the points L and M?
CBSE Class 9 Coordinate Geometry Sure Shot Questions 
 
35. A point lies on the x-axis at a distance of 7 units from the y-axis. What are its coordinates? What will be the coordinates if it lies on y-axis at a distance of –7 units from x-axis?
 
36. Find the coordinates of the point
 
(i) which lies on x and y axes both.
 
(ii) whose ordinate is – 4 and which lies on y-axis.
 
(iii) whose abscissa is 5 and which lies on x-axis.
 
37. Taking 0.5 cm as 1 unit, plot the following points on the graph paper : A (1, 3), B (– 3, – 1), C(1, – 4), D (– 2, 3), E (0, – 8), F (1, 0)
 
38. Plot the points P (1, 0), Q (4, 0) and S (1, 3). Find the coordinates of the point R such that PQRS is a square.
 
39. Three vertices of a rectangle are (3, 2), (– 4, 2) and (– 4, 5). Plot these points and find the coordinates of the fourth vertex.
 
40. Three vertices of a rectangle are (4, 2), (– 3, 2) and (– 3, 7). Plot these points and find the coordinates of the fourth vertex.
 
41. Points A (5, 3), B (– 2, 3) and D (5, – 4) are three vertices of a square ABCD. Plot these points on a graph paper and hence find the coordinates of the vertex C.
 
42. Write the coordinates of the vertices of a rectangle whose length and breadth are 5 and 3 units respectively, one vertex at the origin, the longer side lies on the x-axis and one of the vertices lies in the third quadrant.
 
43. Plot the points A (1, – 1) and B (4, 5) (i) Draw a line segment joining these points. Write the coordinates of a point on this line segment between the points A and B. (ii) Extend this line segment and write the coordinates of a point on this line which lies outside the line segment AB.
 
44. Plot the points P (0, –3), Q (0, 3) and R (6, 3). Find the coordinates of the point S such that PQRS is a square.
 
45. From the below graph, answer the following : (i) Write the points whose abscissa is 0. (ii) Write the points whose ordinate is 0. (iii) Write the points whose abscissa is – 5.
CBSE Class 9 Coordinate Geometry Sure Shot Questions

Please click the link below to download CBSE Class 9 Coordinate Geometry Sure Shot Questions.

Chapter 01 Number Systems
CBSE Class 9 Number Systems Sure Shot Questions
Chapter 02 Polynomials
CBSE Class 9 Polynomials Sure Shot Questions
Chapter 03 Coordinate Geometry
CBSE Class 9 Coordinate Geometry Sure Shot Questions
Chapter 04 Linear Equations In Two Variables
CBSE Class 9 Linear Equations in Two Variables Sure Shot Questions
Chapter 05 Introduction to Euclids Geometry
CBSE Class 9 Introduction to Euclids Geometry Sure Shot Questions
Chapter 06 Lines and Angles
CBSE Class 9 Lines and Angles Sure Shot Questions
Chapter 07 Triangles
CBSE Class 9 Triangles Sure Shot Questions
Chapter 08 Quadrilaterals
CBSE Class 9 Quadrilaterals Sure Shot Questions
Chapter 09 Areas of Parallelograms and Triangles
CBSE Class 9 Areas of Parallelogram and Triangle Sure Shot Questions
Chapter 10 Circles
CBSE Class 9 Circles Sure Shot Questions
Chapter 11 Constructions
CBSE Class 9 Constructions Sure Shot Questions
Chapter 12 Herons Formula
CBSE Class 9 Herons Formula Sure Shot Questions
Chapter 13 Surface Areas and Volumes
CBSE Class 9 Surface Areas and Volumes Sure Shot Questions
Chapter 14 Statistics
CBSE Class 9 Statistics Sure Shot Questions
Chapter 15 Probability
CBSE Class 9 Probability Sure Shot Questions

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