Question

The point \((-2, 3)\) lies in which quadrant?

• A. \( \text{I} \)
• B. \( \text{II} \)
• C. \( \text{III} \)
• D. \( \text{IV} \)

Hint:

\textbf{Quadrants in Cartesian Plane.} Remember the signs of the coordinates in each quadrant: Quadrant I: (+, +) Quadrant II: (-, +) Quadrant III: (-, -) Quadrant IV: (+, -) This will help you quickly identify the quadrant in which a given point lies.

Answer 1

The Correct Option is B

In a Cartesian coordinate system, the plane is divided into four quadrants based on the signs of the x-coordinate (abscissa) and the y-coordinate (ordinate) of a point \((x, y)\):
Quadrant I: \(x > 0\) and \(y > 0\) (both coordinates are positive).
Quadrant II: \(x < 0\) and \(y > 0\) (x-coordinate is negative, y-coordinate is positive).
Quadrant III: \(x < 0\) and \(y < 0\) (both coordinates are negative).
Quadrant IV: \(x > 0\) and \(y < 0\) (x-coordinate is positive, y-coordinate is negative). The given point is \((-2, 3)\). Here, the x-coordinate is -2, which is less than 0 (\(x < 0\)), and the y-coordinate is 3, which is greater than 0 (\(y > 0\)). According to the rules above, a point with a negative x-coordinate and a positive y-coordinate lies in Quadrant II. Therefore, the point \((-2, 3)\) lies in Quadrant II.