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Quadrants, axes and plotting points: Class 9 practice

In (x, y), x is the signed distance from the y-axis and y from the x-axis. Read the method, follow the three worked examples, then try the six questions.

What you should know first

  • Integers on a number line

The idea behind quadrants, axes and plotting points

In (x, y), x is the signed distance from the y-axis and y from the x-axis. Signs decide the quadrant: I (+,+), II (−,+), III (−,−), IV (+,−). A zero coordinate puts the point on an axis.

Step-by-step method

  1. Look at the sign of x, then y.
  2. If either is 0, the point lies on an axis.
  3. Otherwise name the quadrant.

Worked example 1 (Basic)

Where does each point lie: (-8, 9), (0, -2)?

  1. x < 0, y > 0 → II
  2. x = 0, y < 0 → y-axis
  3. Answer: (-8, 9) → II; (0, -2) → y-axis

Worked example 2 (Standard)

Where does each point lie: (0, 2), (-8, -5), (0, 0)?

  1. x = 0, y > 0 → y-axis
  2. x < 0, y < 0 → III
  3. x = 0, y = 0 → origin
  4. Answer: (0, 2) → y-axis; (-8, -5) → III; (0, 0) → origin

Worked example 3 (Challenge)

Where does each point lie: (4, 7), (1, 7), (4, 0), (9, 0)?

  1. x > 0, y > 0 → I
  2. x > 0, y > 0 → I
  3. x > 0, y = 0 → x-axis
  4. x > 0, y = 0 → x-axis
  5. Answer: (4, 7) → I; (1, 7) → I; (4, 0) → x-axis; (9, 0) → x-axis

Common mistakes and misconceptions

  • Swapping x and y
  • Putting points like (0, 5) in a quadrant

Practice questions

  1. (Basic) Where does each point lie: (0, -6), (-1, 2)?
  2. (Basic) Where does each point lie: (-7, -4), (3, -2)?
  3. (Standard) Where does each point lie: (-1, 0), (2, 5), (1, 0)?
  4. (Standard) Where does each point lie: (-8, 0), (0, 8), (0, 0)?
  5. (Challenge) Where does each point lie: (7, 6), (2, 1), (-5, 3), (5, -9)?
  6. (Challenge) Where does each point lie: (4, 3), (0, -8), (0, -6), (2, -6)?

Answer key with full working

  • Q1: x = 0, y < 0 → y-axis → x < 0, y > 0 → II → Answer: (0, -6) → y-axis; (-1, 2) → II
  • Q2: x < 0, y < 0 → III → x > 0, y < 0 → IV → Answer: (-7, -4) → III; (3, -2) → IV
  • Q3: x < 0, y = 0 → x-axis → x > 0, y > 0 → I → x > 0, y = 0 → x-axis → Answer: (-1, 0) → x-axis; (2, 5) → I; (1, 0) → x-axis
  • Q4: x < 0, y = 0 → x-axis → x = 0, y > 0 → y-axis → x = 0, y = 0 → origin → Answer: (-8, 0) → x-axis; (0, 8) → y-axis; (0, 0) → origin
  • Q5: x > 0, y > 0 → I → x > 0, y > 0 → I → x < 0, y > 0 → II → x > 0, y < 0 → IV → Answer: (7, 6) → I; (2, 1) → I; (-5, 3) → II; (5, -9) → IV
  • Q6: x > 0, y > 0 → I → x = 0, y < 0 → y-axis → x = 0, y < 0 → y-axis → x > 0, y < 0 → IV → Answer: (4, 3) → I; (0, -8) → y-axis; (0, -6) → y-axis; (2, -6) → IV

Syllabus note

This skill is listed under "Coordinate Geometry" for Class 9 in the NCERT/CBSE books. ICSE, IGCSE, IB and state boards may teach it in a different chapter or year.

Answers on this page are generated and automatically re-checked by a second, independent calculation. They have not been reviewed by a teacher — if you spot a problem, tell us on WhatsApp.

Related practice and notes

Frequently asked questions

Which chapter is quadrants, axes and plotting points in?

"Coordinate Geometry", Class 9 Maths (NCERT/CBSE). Other boards may place it differently.

How were the answers checked?

Answers on this page are generated and automatically re-checked by a second, independent calculation. They have not been reviewed by a teacher — if you spot a problem, tell us on WhatsApp.

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