The reflection of the point \((\alpha, \beta, \gamma)\) in the \(xz\) plane is
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → \((\alpha, -\beta, \gamma)\)
The xz plane is the plane y = 0. The point \((\alpha, \beta, \gamma)\) is at distance \(|\beta|\) from it, along the y-axis.
Its mirror image is at the same distance on the other side of the plane, so only the y-coordinate changes sign:
\((\alpha, \beta, \gamma) \rightarrow (\alpha, -\beta, \gamma)\)