In which of the following quadrants does the point P(3, 6) lie?

Options

A. I
B. II
C. III
D. IV

Answer

To determine in which quadrant the point P(3, 6) 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 is represented as (x, y).

### Step 2: Identify the Coordinates
For the point P(3, 6):
- The x-coordinate is 3.
- The y-coordinate is 6.

### Step 3: Determine the Signs of the Coordinates
- The x-coordinate (3) is positive.
- The y-coordinate (6) is also positive.

### Step 4: Identify the Quadrant
In the coordinate system:
- **First Quadrant**: Both x and y are positive.
- **Second Quadrant**: x is negative, y is positive.
- **Third Quadrant**: Both x and y are negative.
- **Fourth Quadrant**: x is positive, y is negative.

Since both coordinates of point P(3, 6) are positive, it lies in the **First Quadrant**.

### Final Answer
The point P(3, 6) lies in the **First Quadrant**.

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