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Points (1, -1), (2, -2), (-3, -4), (4, -...

Points `(1, -1), (2, -2), (-3, -4), (4, -5)`

A

lie in II quadrant

B

lie in III quadrant

C

lie in IV quadrant

D

do not lie in the same quadrant

Text Solution

AI Generated Solution

The correct Answer is:
To determine the coordinates of the points (1, -1), (2, -2), (-3, -4), and (4, -5), we will analyze each point to see which quadrant they belong to in the Cartesian plane. ### Step-by-Step Solution: 1. **Identify the Quadrants:** - The Cartesian plane is divided into four quadrants: - **Quadrant I:** (x > 0, y > 0) - **Quadrant II:** (x < 0, y > 0) - **Quadrant III:** (x < 0, y < 0) - **Quadrant IV:** (x > 0, y < 0) 2. **Analyze Each Point:** - **Point (1, -1):** - x-coordinate (1) is positive, y-coordinate (-1) is negative. - This point lies in **Quadrant IV**. - **Point (2, -2):** - x-coordinate (2) is positive, y-coordinate (-2) is negative. - This point also lies in **Quadrant IV**. - **Point (-3, -4):** - x-coordinate (-3) is negative, y-coordinate (-4) is negative. - This point lies in **Quadrant III**. - **Point (4, -5):** - x-coordinate (4) is positive, y-coordinate (-5) is negative. - This point lies in **Quadrant IV**. 3. **Conclusion:** - Points (1, -1), (2, -2), and (4, -5) all lie in **Quadrant IV**. - The point (-3, -4) lies in **Quadrant III**. - Therefore, not all points lie in the same quadrant. ### Final Answer: - Points (1, -1), (2, -2), and (4, -5) lie in **Quadrant IV**. - Point (-3, -4) lies in **Quadrant III**.
To determine the coordinates of the points (1, -1), (2, -2), (-3, -4), and (4, -5), we will analyze each point to see which quadrant they belong to in the Cartesian plane. ### Step-by-Step Solution: 1. **Identify the Quadrants:** - The Cartesian plane is divided into four quadrants: - **Quadrant I:** (x > 0, y > 0) - **Quadrant II:** (x < 0, y > 0) ...
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