Class 9 Mathematics Chapter 1 Orienting Yourself: The Use of Coordinates – Extra Questions with Answers

Extra practice questions for Class 9 Maths Chapter 1 (Orienting Yourself: The Use of Coordinates), beyond the textbook. These Class 9 Mathematics Chapter 1 important questions are handy for last-minute exam practice.

Very Short Answer Questions (1 mark)

Q1. What are the coordinates of a point lying on the x-axis, in general form?
Ans: (x, 0).

Q2. In which quadrant does the point (5, −2) lie?
Ans: Quadrant IV.

Q3. What is the other name for the x-coordinate of a point?
Ans: Abscissa.

Q4. How many quadrants does the Cartesian plane have?
Ans: Four.

Q5. What are the coordinates of a point lying on the y-axis, in general form?
Ans: (0, y).

Short Answer Questions (2–3 marks)

Q6. Identify the quadrant (or axis) for each of these points: (3, 5), (−2, −7), (0, 4), (6, 0).
Ans: (3, 5) → Quadrant I; (−2, −7) → Quadrant III; (0, 4) → on the y-axis; (6, 0) → on the x-axis.

Q7. Explain why (2, 5) and (5, 2) represent two different points on the Cartesian plane.
Ans: Coordinates are ordered pairs, so the order matters: in (2, 5), the x-coordinate is 2 and y-coordinate is 5, while in (5, 2), the x-coordinate is 5 and y-coordinate is 2 — these describe two different positions relative to the axes, even though the same two numbers are used.

Q8. If a point has equal positive x and y coordinates, in which quadrant does it lie, and what shape does the set of all such points trace?
Ans: It lies in Quadrant I (since both coordinates are positive). The set of all such points (where x = y, both positive) traces a straight line through the origin at 45° to both axes.

Higher-Order Thinking / Application Questions

Q9. A point P is reflected across the x-axis to get point Q, and P has coordinates (4, 7). What are the coordinates of Q, and what general rule does this illustrate?
Ans: Q has coordinates (4, −7). This illustrates that reflecting a point across the x-axis keeps the x-coordinate the same but reverses the sign of the y-coordinate.

Q10. Four points form a rectangle: (1, 1), (5, 1), (5, 4), and (1, 4). Without drawing, determine the length and breadth of the rectangle using the coordinates.
Ans: The length (horizontal side) is the difference between x-coordinates of two points sharing the same y-coordinate: 5 − 1 = 4 units. The breadth (vertical side) is the difference between y-coordinates of two points sharing the same x-coordinate: 4 − 1 = 3 units. So the rectangle is 4 units by 3 units.

Written by Satish

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