Math Problem Statement
Determine the quadrant in which the point (x, y) lies when x < 0 and y > 0.
Solution
The question asks to determine in which quadrant the point lies, given that and .
- The Cartesian plane is divided into four quadrants:
- Quadrant I: ,
- Quadrant II: ,
- Quadrant III: ,
- Quadrant IV: ,
Since and , the point lies in Quadrant II.
The correct answer is Quadrant II.
Would you like any further details or have questions about this?
Here are 5 related questions to expand on this concept:
- What are the coordinates of a point that lies in Quadrant III?
- How do the signs of and change across the quadrants?
- Can a point lie on the axis between two quadrants? If so, how do you classify it?
- What is the difference between Cartesian coordinates and polar coordinates?
- How do you determine the distance between two points in different quadrants?
Tip: When identifying a quadrant, always pay attention to the signs of both and .
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Math Problem Analysis
Mathematical Concepts
Coordinate Geometry
Quadrants
Formulas
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Theorems
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Suitable Grade Level
Grades 6-8