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Question

(𝑥, 𝑦) → (−𝑥, 𝑦) represents

  1. Reflection in the X-axis 
  2. Reflection in the Y-axis 
  3. Reflection in the x = y

The correct answer is: Reflection in the Y-axis


    HINT – In reflection, mirror image of the original figure is created about axis of reflection
    We know that reflection is mirror image of given point where axis of reflection act as plain mirror. So, when a point is reflected about y – axis, then the y – coordinate remains same, but the x – coordinate becomes negative.
    It is given that (𝑥 , 𝑦) → ( - 𝑥 , 𝑦).
    i.e. y – coordinate is same and x – coordinate becomes negative.
    Hence, reflection in the y – axis.

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