Point `P(3, 4)` lies in which quadrant?

Options

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

Answer

To determine in which quadrant the point \( P(3, 4) \) lies, we can follow these steps:

### Step 1: Understand the Coordinate System
The coordinate system consists of two axes: the x-axis (horizontal) and the y-axis (vertical). The point where these axes intersect is called the origin, denoted as \( O(0, 0) \).

### Step 2: Identify the Quadrants
The coordinate plane is divided into four quadrants:
- **First Quadrant**: Both x and y are positive \((+,+)\)
- **Second Quadrant**: x is negative and y is positive \((-,+)\)
- **Third Quadrant**: Both x and y are negative \((-,-)\)
- **Fourth Quadrant**: x is positive and y is negative \((+,-)\)

### Step 3: Analyze the Coordinates of Point P
The coordinates of point \( P \) are given as \( (3, 4) \). Here, the x-coordinate is \( 3 \) (positive) and the y-coordinate is \( 4 \) (positive).

### Step 4: Determine the Quadrant
Since both the x-coordinate and y-coordinate of point \( P(3, 4) \) are positive, it lies in the **First Quadrant**.

### Conclusion
Thus, point \( P(3, 4) \) lies in the **First Quadrant**.

---