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Write the equation which represents y ax...

Write the equation which represents y axis.

A

x=0, y=0

B

y=0and z=0

C

z=0,x=0

D

none of these

Text Solution

AI Generated Solution

The correct Answer is:
To find the equation that represents the y-axis in three-dimensional geometry, we need to understand the coordinates that define points on the y-axis. ### Step-by-Step Solution: 1. **Understanding the y-axis**: The y-axis is a vertical line in three-dimensional space where all points have the same x-coordinate and z-coordinate. 2. **Identifying the coordinates**: On the y-axis, the x-coordinate is always 0, and the z-coordinate is also always 0. This means that any point on the y-axis can be represented as (0, y, 0) where y can take any real number value. 3. **Writing the equations**: Therefore, the equations that represent the y-axis can be expressed as: - \( x = 0 \) - \( z = 0 \) 4. **Final representation**: Combining these, we can say that the y-axis is represented by the equations: - \( x = 0 \) and \( z = 0 \) ### Final Answer: The equations representing the y-axis are: - \( x = 0 \) - \( z = 0 \) ---
To find the equation that represents the y-axis in three-dimensional geometry, we need to understand the coordinates that define points on the y-axis. ### Step-by-Step Solution: 1. **Understanding the y-axis**: The y-axis is a vertical line in three-dimensional space where all points have the same x-coordinate and z-coordinate. 2. **Identifying the coordinates**: On the y-axis, the x-coordinate is always 0, and the z-coordinate is also always 0. This means that any point on the y-axis can be represented as (0, y, 0) where y can take any real number value. ...
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