Question

In which quadrant does the point (3, -4) lie ?

• A. First
• B. Second
• C. Third
• D. Fourth

Hint:

You can visualize the quadrants by starting from the top-right and moving counter-clockwise. Top-right is I (+,+), top-left is II (-,+), bottom-left is III (-,-), and bottom-right is IV (+,-).

Answer 1

The Correct Option is D

Step 1: Understanding the Concept:
The Cartesian plane is divided into four quadrants by the x-axis and y-axis. The sign of the x and y coordinates determines the quadrant.
- Quadrant I: x is positive (+), y is positive (+)
- Quadrant II: x is negative (-), y is positive (+)
- Quadrant III: x is negative (-), y is negative (-)
- Quadrant IV: x is positive (+), y is negative (-)

Step 2: Detailed Explanation:
The given point is \((3, -4)\).
The x-coordinate is 3, which is positive.
The y-coordinate is -4, which is negative.
A point with a positive x-coordinate and a negative y-coordinate \((+, -)\) lies in the Fourth Quadrant.

Step 3: Final Answer:
The point (3, -4) lies in the Fourth quadrant.