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The reflection of the point (\alpha, \beta, \gamma ) in the xy planes:

  • Option 1)

    \left ( \alpha ,\beta ,0 \right )

  • Option 2)

    (0,0,\gamma)

  • Option 3)

    (-\alpha ,-\beta ,\gamma)

  • Option 4)

    (\alpha ,\beta ,-\gamma)

 

Answers (1)

As we learnt  in conept

Co-ordinate planes -

The plane formed by X and Y axes is known as XY plane similarly with Y and Z axes is known as YZ plane and with X and Z axis is known XZ plane.

-

 

 So XY- plane means z=0

The reflection is (\alpha ,\beta ,\gamma )

as x- coordinate and y-coordinate does not change.


Option 1)

\left ( \alpha ,\beta ,0 \right )

Incorrect

Option 2)

(0,0,\gamma)

Incorrect

Option 3)

(-\alpha ,-\beta ,\gamma)

Incorrect

Option 4)

(\alpha ,\beta ,-\gamma)

Correct

Posted by

Vakul

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