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 a point \( P(a, b, c) \), the distance from the y-axis is found by considering only the \( x \)- and \( z \)-coordinates.

Answer 1

The Correct Option is C

The distance of a point \( P(a, b, c) \) from the y-axis is the shortest distance from \( P \) to the y-axis. The y-axis is defined by the equations \( x = 0 \) and \( z = 0 \). The perpendicular distance is calculated as: \[ \text{Distance} = \sqrt{(a - 0)^2 + (c - 0)^2} = \sqrt{a^2 + c^2}. \] Consequently, the correct option is (C) \( \sqrt{a^2 + c^2} \).