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I II III IV

COO003 · Coordinate geometry · Classes 6–9

Quadrants

The axes split the plane into four quadrants, numbered anticlockwise from the top right: I (+, +), II (−, +), III (−, −), IV (+, −).

📐 Formula

I: x > 0, y > 0; II: x < 0, y > 0; III: x < 0, y < 0; IV: x > 0, y < 0

✏️ Worked example

(−4, 3) is in quadrant II.

🌍 Where it is used

Reading graphs and locating points quickly.

❓ Quick check

In which quadrant is (5, −1)?

🏋️ Practice

EasyQuadrant of (−2, −7)?

Answer: III

MediumQuadrant of (0, 4)?

Answer: None: it is on the y-axis

ChallengeSigns of x and y in quadrant II?

Answer: x < 0, y > 0