In which quadrants are the sign of first and second coordinates different
To determine in which quadrants the sign of the first and second coordinates are different, we need to consider the signs of the coordinates separately. Here's how you can determine it:
Step 1: Identify the signs of the first and second coordinates.
- The first coordinate corresponds to the x-axis value.
- The second coordinate corresponds to the y-axis value.
- Determine whether each coordinate is positive (+), negative (-), or zero (0).
Step 2: Analyze the combinations of signs.
- If the first coordinate and second coordinate have different signs (one positive and one negative), the point lies in either the second or fourth quadrant.
- If both coordinates are positive (+), the point lies in the first quadrant.
- If both coordinates are negative (-), the point lies in the third quadrant.
- If one or both coordinates are zero (0), the point lies on one of the axes or at the origin.
Therefore, in quadrants where the sign of the first and second coordinates are different (one positive and one negative), you will find points in the second and fourth quadrants.