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A point $(x, y)$ satisfies $x + y = 0$ and the point is NOT the origin.
It can lie only in which two quadrants?

Class 9Quadrants and SignsCoordinate Geometry

AII and IV
BI and III
CI and II
DIII and IV

Step-by-Step Solution

x + y = 0

means

y = - x

, so

x

and

y

have opposite signs (for

x

not 0). Opposite signs occur in Quadrant II (-, +) and Quadrant IV (+, -).

Answer: A) II and IV

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