L is the foot of the perpendicular drawn from a point (3,4,5) on X-axis. The coordinates of L are.

Options

A. 3,0,0
B. 0,4,0
C. 0,0,5
D. none of these

Explanation

To find the coordinates of the foot of the perpendicular drawn from the point \( P(3, 4, 5) \) to the x-axis, we can follow these steps:

### Step 1: Understand the Geometry
The foot of the perpendicular from a point in three-dimensional space to the x-axis will have the same x-coordinate as the point, but the y and z coordinates will be zero since the x-axis is defined by the equation \( y = 0 \) and \( z = 0 \).

### Step 2: Identify the Coordinates
Given the point \( P(3, 4, 5) \):
- The x-coordinate is \( 3 \).
- The y-coordinate is \( 4 \).
- The z-coordinate is \( 5 \).

### Step 3: Write the Coordinates of the Foot of the Perpendicular
Since the foot of the perpendicular \( L \) lies on the x-axis, we will keep the x-coordinate the same and set the y and z coordinates to zero. Therefore, the coordinates of \( L \) will be:
\[ L(3, 0, 0) \]

### Step 4: Conclusion
Thus, the coordinates of the foot of the perpendicular \( L \) are \( (3, 0, 0) \).

### Final Answer
The coordinates of \( L \) are \( (3, 0, 0) \).

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