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Three Dimensional Geometry — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsThree Dimensional Geometry1 Mark
MCQ
Choose the correct answer from the given four options. The reflection of the point $(\alpha,\beta,\gamma)$ in the xy–plane is:
  • A
    $(\alpha,\beta,0)$
  • B
    $(0,0,\gamma)$
  • C
    $(-\alpha,-\beta,\gamma)$
  • ✓
    $(\alpha,\beta,-\gamma)$
✓

Answer

Correct option: D.
$(\alpha,\beta,-\gamma)$
In XY-plane, only the sign of z coordinate of the point got changed after the reflection. Therefore, the reflection of the point $(\alpha,\beta,\gamma)$ is $(\alpha,\beta,-\gamma).$

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