Question

The distance of point \( P(a, b, c) \) from the y-axis is:

• A. \( b \)
• B. \( b^2 \)
• C. \( \sqrt{a^2 + c^2} \)
• D. \( a^2 + c^2 \)

Hint:

For finding the distance from an axis, exclude the coordinate along the axis of interest, and compute the Euclidean distance using the remaining coordinates.

Answer 1

The Correct Option is C

Step 1: Distance formula application. The distance of a point \( P(a, b, c) \) from the y-axis is determined by ignoring the \( b \) coordinate and calculating the Euclidean distance from the y-axis: \[ \text{Distance} = \sqrt{a^2 + c^2} \] Final Answer: \[ \boxed{\sqrt{a^2 + c^2}} \]