Assertion (A): A point with positive abscissa and negative ordinate lies in the fourth quadrant. Reason (R): Abscissa refers to the x-coordinate and ordinate refers to the y-coordinate.

Both A and R are true but R is not the correct explanation of A.

Both A and R are true and R is the correct explanation of A.

Both A and R are true but R is not the correct explanation of A.

Points A and B are on the coordinate plane such that A lies on the x-axis and B lies on the y-axis. If the distance AB is 13 units and both coordinates of A and B are positive integers, find one possible set of coordinates for A and B.

A(5, 0) and B(0, 12) (or A(12,0) and B(0,5))

A point has coordinates (0, −5). On which axis does it lie? Justify your answer.

It lies on the y-axis because its x-coordinate is 0.

State the quadrant or axis on which the following points lie: (i) (-3, 5) (ii) (4, -2) (iii) (0, -6). Also, find the distance of the point (4, -2) from the x-axis.

(i) Quadrant II; (ii) Quadrant IV; (iii) negative y-axis; Distance = 2 units.

Find the distance between the points P(0, -4) and Q(3, -4). Then, determine the distance of point P from the origin.

Distance PQ = 3 units; Distance of P from origin = 4 units.

Plot the points O(0, 0), P(4, 0), Q(4, 3), and R(0, 3) on a coordinate plane. Join them in order O → P → Q → R → O. What type of quadrilateral do you get? Find the lengths of its sides, its perimeter, and its area.

The quadrilateral is a rectangle. Side lengths are OP = 4 units, PQ = 3 units, QR = 4 units, RO = 3 units. Perimeter = 14 units. Area = 12 square units.

Class 9 Maths Chapter 1: Orienting Yourself: The Use of Coordinates — Important Questions & Sample Paper

CBSE· Ganita Manjari· 56+ original questions readyहिन्दी में देखें

Practise important & sample questions with answers, see the CBSE marks distribution & blueprint, or generate a full sample paper — free, for 2026-27.

Reviewed by qpaper's CBSE curriculum team · Edited by Mohit · Updated June 2026

Quick answer

Yes — this page has 56+ original Class 9 Mathematics Chapter 1 (“Orienting Yourself: The Use of Coordinates”) important questions with answers (Multiple Choice (MCQ), Assertion–Reason, Short Answer, Short Answer, Long Answer, Case Study). Practise them free, or generate a full CBSE board-pattern sample paper (80 marks) and export it to PDF or Word — in English & Hindi, for 2026-27.

Class 9 Mathematics NCERT 'Ganita Manjari' Chapter 1, 'Orienting Yourself: The Use of Coordinates', introduces the foundational Cartesian coordinate system. Students learn to navigate the plane using two perpendicular number lines—the x-axis (horizontal) and y-axis (vertical)—intersecting at the origin (0,0). The chapter covers how to locate a point using an ordered pair (x, y), understand the sign conventions across the four quadrants, and plot points accurately. Key skills include identifying the quadrant or axis on which a point lies, finding its distance from the axes, and determining coordinates when given a point's distance from axes. Students also learn to calculate the distance between two points when they share the same x- or y-coordinate (parallel to an axis), and to find the distance of a point from the origin. Problems often involve finding missing coordinates, forming simple geometric shapes like rectangles on the plane, and interpreting real-world orientation scenarios. Exam questions typically ask to plot points, state coordinates, find distances, or reason about locations in different quadrants. This chapter builds essential spatial reasoning and lays the groundwork for later topics like graphs, geometry, and linear equations.

Generate a full sample paper for this chapter

Pick chapters, set your blueprint and marks distribution, and export a print-ready PDF or editable Word — with an answer key. Free to build.

Generate full paper See a sample paper

Preview: a real paper we generate

This is the actual CBSE board-style layout you export — built from this chapter's own questions, with an answer key.

Mathematics — Orienting Yourself: The Use of Coordinates

Class 9Time: 3 hrsMax Marks: 80

SECTION A

1.
Find the coordinates of the point on the x-axis that is equidistant from the points (2, 4) and (6, -4).
(a) (0, 0)(b) (4, 0)(c) (2, 0)(d) (6, 0)
1
2.
What are the coordinates of a point on the positive x-axis that is 5 units away from the origin?
(a) (0, 5)(b) (5, 0)(c) (0, 0)(d) (5, 5)
1
3.
A rectangle has vertices at (1, 2), (1, 6), (5, 6), and (5, 2). What is the area of the rectangle?
(a) 8 square units(b) 12 square units(c) 16 square units(d) 20 square units
1

+ 53 more questions in the full paper

Generate full paper

Marks distribution & blueprint

In a CBSE exam, this chapter typically contributes questions across the following types. The last column shows how many original questions of each type we have ready in our bank for this chapter:

Question type	Marks each	In our bank
Multiple Choice (MCQ)	1 mark	13
Assertion–Reason	1 mark	12
Short Answer	2 marks	8
Short Answer	3 marks	6
Long Answer	5 marks	5
Case Study	4 marks	12

56 original, exam-style questions in our bank for this chapter — with answers.

Important & sample questions (with answers)

Real, exam-style questions to practise and revise — each with its answer. Generate a full paper for unlimited more.

Q1. Find the coordinates of the point on the x-axis that is equidistant from the points (2, 4) and (6, -4).
1 mark
Multiple Choice (MCQ)
(A) (0, 0)(B) (4, 0)(C) (2, 0)(D) (6, 0)
▸ Answer▾ Answer
(4, 0)
Q2. What are the coordinates of a point on the positive x-axis that is 5 units away from the origin?
1 mark
Multiple Choice (MCQ)
(A) (0, 5)(B) (5, 0)(C) (0, 0)(D) (5, 5)
▸ Answer▾ Answer
(5, 0)
Q3. A rectangle has vertices at (1, 2), (1, 6), (5, 6), and (5, 2). What is the area of the rectangle?
1 mark
Multiple Choice (MCQ)
(A) 8 square units(B) 12 square units(C) 16 square units(D) 20 square units
▸ Answer▾ Answer
16 square units
Q4. A point is 4 units away from the x-axis and 3 units away from the y-axis. If it lies in Quadrant I, what are its coordinates?
1 mark
Multiple Choice (MCQ)
(A) (3, 4)(B) (4, 3)(C) (-3, 4)(D) (3, -4)
▸ Answer▾ Answer
(3, 4)
Q5. Assertion (A): A point with positive abscissa and negative ordinate lies in the fourth quadrant. Reason (R): Abscissa refers to the x-coordinate and ordinate refers to the y-coordinate.
1 mark
Assertion–Reason
(A) Both A and R are true and R is the correct explanation of A.(B) Both A and R are true but R is not the correct explanation of A.(C) A is true but R is false.(D) A is false but R is true.
▸ Answer▾ Answer
Both A and R are true but R is not the correct explanation of A.
Q6. Points A and B are on the coordinate plane such that A lies on the x-axis and B lies on the y-axis. If the distance AB is 13 units and both coordinates of A and B are positive integers, find one possible set of coordinates for A and B.
2 marks
Short Answer
▸ Answer▾ Answer
A(5, 0) and B(0, 12) (or A(12,0) and B(0,5))
Q7. A point has coordinates (0, −5). On which axis does it lie? Justify your answer.
2 marks
Short Answer
▸ Answer▾ Answer
It lies on the y-axis because its x-coordinate is 0.
Q8. State the quadrant or axis on which the following points lie: (i) (-3, 5) (ii) (4, -2) (iii) (0, -6). Also, find the distance of the point (4, -2) from the x-axis.
3 marks
Short Answer
▸ Answer▾ Answer
(i) Quadrant II; (ii) Quadrant IV; (iii) negative y-axis; Distance = 2 units.
Q9. Find the distance between the points P(0, -4) and Q(3, -4). Then, determine the distance of point P from the origin.
3 marks
Short Answer
▸ Answer▾ Answer
Distance PQ = 3 units; Distance of P from origin = 4 units.
Q10. Plot the points O(0, 0), P(4, 0), Q(4, 3), and R(0, 3) on a coordinate plane. Join them in order O → P → Q → R → O. What type of quadrilateral do you get? Find the lengths of its sides, its perimeter, and its area.
5 marks
Long Answer
▸ Answer▾ Answer
The quadrilateral is a rectangle. Side lengths are OP = 4 units, PQ = 3 units, QR = 4 units, RO = 3 units. Perimeter = 14 units. Area = 12 square units.
Q11. A point P lies on the x-axis and is equidistant from the points A(3, -4) and B(-5, 8). Find the coordinates of P.
5 marks
Long Answer
▸ Answer▾ Answer
P = (-4, 0).
Q12. A rectangle ABCD is drawn on a coordinate plane with A(0,0), B(8,0), C(8,6), D(0,6). A point P lies inside the rectangle such that its distance from side AB is 3 units and its distance from side AD is 4 units.
4 marks
Case Study
1. (i) Determine the coordinates of point P.2 marks
2. (ii) Find the distance from P to the corner C.2 marks
▸ Answer▾ Answer
P(4, 3); PC = 5 units

Frequently asked questions

How do I determine which quadrant a point lies in?

Look at the signs of the x and y coordinates. If both positive: Quadrant I; if x negative, y positive: Quadrant II; if both negative: Quadrant III; if x positive, y negative: Quadrant IV. If either coordinate is zero, the point lies on an axis, not in a quadrant.

How do I find the distance of a point from the x-axis or y-axis?

The distance from the x-axis is the absolute value of the y-coordinate (|y|). The distance from the y-axis is the absolute value of the x-coordinate (|x|). For example, point (3, -4) is 4 units from the x-axis and 3 units from the y-axis.

How do I find the distance between two points that have the same x-coordinate or the same y-coordinate?

If they share the same y-coordinate, the distance is the absolute difference of their x-coordinates (|x2 - x1|). If they share the same x-coordinate, it's |y2 - y1|.

What are the coordinates of a point on the x-axis or y-axis?

Any point on the x-axis has y-coordinate 0 (e.g., (a, 0)). Any point on the y-axis has x-coordinate 0 (e.g., (0, b)). The origin is (0,0).

Generate a full sample paper for this chapter

Preview: a real paper we generate

Marks distribution & blueprint

Important & sample questions (with answers)

Frequently asked questions

More chapters