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In which quadrant, does the point ...

In which quadrant, does the point A (x, y) with values x>0 and y>0 exists.

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To determine in which quadrant the point A (x, y) exists given that x > 0 and y > 0, we can follow these steps: ### Step-by-Step Solution: 1. **Understand the Coordinate System**: - The Cartesian coordinate system is divided into four quadrants: - **First Quadrant**: Both x and y are positive (x > 0, y > 0). - **Second Quadrant**: x is negative and y is positive (x < 0, y > 0). - **Third Quadrant**: Both x and y are negative (x < 0, y < 0). - **Fourth Quadrant**: x is positive and y is negative (x > 0, y < 0). 2. **Identify the Conditions**: - The problem states that x > 0 and y > 0. This means both coordinates are positive. 3. **Determine the Quadrant**: - Since both x and y are positive, we refer to the definition of the quadrants: - The only quadrant where both x and y are positive is the **First Quadrant**. 4. **Conclusion**: - Therefore, the point A (x, y) with x > 0 and y > 0 lies in the **First Quadrant**. ### Final Answer: The point A (x, y) lies in the **First Quadrant**. ---
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