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They are the four parts of the plane formed by the axes, They are numbered anti-clockwise from North East so that

North East = I: x > 0, y > 0

North West = II: x < 0, y > 0

South West = III: x < 0, y < 0

South East = IV: x > 0, y < 0

Points with x = 0 or y = 0 lie on an axis (or axes) and do not belong to any single quadrant.

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