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Three Dimensional Geometry — MATHS STD 12 Science — Question

Rajasthan BoardEnglish MediumSTD 12 ScienceMATHSThree Dimensional Geometry1 Mark
Question
Choose the correct answer from the given four options. The reflection of the point $(\alpha,\beta,\gamma)$ in the xy–plane is:
  1. $(\alpha,\beta,0)$
  2. $(0,0,\gamma)$
  3. $(-\alpha,-\beta,\gamma)$
  4. $(\alpha,\beta,-\gamma)$
✓

Answer

  1. $(\alpha,\beta,-\gamma)$
Solution:
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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