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KCET · Maths · Area Under Curves

Reflexion of the point \( (\alpha, \beta, \gamma) \) in \( X Y \) plane is

  1. A \( (\alpha, \beta, 0) \)
  2. B \( (0,0, y) \)
  3. C \( (-\alpha,-\beta, \gamma) \)
  4. D \( (\alpha, \beta,-\gamma) \)
Verified Solution

Answer & Solution

Correct Answer

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

Step-by-step Solution

Detailed explanation

Given that, point \( (\alpha, \beta, y) \) has reflection in \( x y \)-plane, that is, only \( z \)-axis coordinate change, \( x \) and \( y \) coordinates remain
same.
So, \( (\alpha, \beta,-\gamma) \)