Question

The equation of the \( xy \)-plane is:

• A. \( x = 0 \)
• B. \( y = 0 \)
• C. \( z = 0 \)
• D. None of these

Hint:

In three-dimensional space: - \( xy \)-plane: \( z = 0 \) - \( yz \)-plane: \( x = 0 \) - \( xz \)-plane: \( y = 0 \)

Answer 1

The Correct Option is C

Step 1: The \( xy \)-plane consists of all points where the \( z \)-coordinate is zero. \[ \Rightarrow z = 0 \] Step 2: The planes \( x = 0 \) and \( y = 0 \) represent the \( yz \)-plane and \( xz \)-plane respectively. Final Answer: \( \boxed{z = 0} \)