If abscissa of point A is positive & ordinate is negative then in which quadrant do A lie?

Answer

To determine in which quadrant point A lies, given that its abscissa (x-coordinate) is positive and its ordinate (y-coordinate) is negative, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Definitions**:
- The **abscissa** refers to the x-coordinate of a point.
- The **ordinate** refers to the y-coordinate of a point.

2. **Identify the Coordinates**:
- According to the problem, the abscissa (x-coordinate) of point A is positive, which we can denote as \( x > 0 \).
- The ordinate (y-coordinate) of point A is negative, which we can denote as \( y < 0 \).

3. **Draw the Cartesian Plane**:
- Draw a Cartesian coordinate system with an x-axis (horizontal) and a y-axis (vertical).
- Mark the origin (0,0) where the x-axis and y-axis intersect.

4. **Label the Quadrants**:
- The four quadrants are labeled as follows:
- **First Quadrant** (I): where \( x > 0 \) and \( y > 0 \)
- **Second Quadrant** (II): where \( x < 0 \) and \( y > 0 \)
- **Third Quadrant** (III): where \( x < 0 \) and \( y < 0 \)
- **Fourth Quadrant** (IV): where \( x > 0 \) and \( y < 0 \)

5. **Analyze the Given Coordinates**:
- Since point A has a positive abscissa (\( x > 0 \)) and a negative ordinate (\( y < 0 \)), we need to find which quadrant corresponds to this combination.

6. **Determine the Quadrant**:
- From the analysis:
- The first quadrant has both coordinates positive.
- The second quadrant has a negative x-coordinate and a positive y-coordinate.
- The third quadrant has both coordinates negative.
- The fourth quadrant has a positive x-coordinate and a negative y-coordinate.
- Therefore, the combination of a positive x-coordinate and a negative y-coordinate indicates that point A lies in the **fourth quadrant**.

### Conclusion:
Point A lies in the **fourth quadrant**.

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