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Mathematics

The co-ordinates of the image of the point (-6, 9) when reflected in y-axis followed by the reflection in x-axis is :

  1. (-6, 9)

  2. (6, 9)

  3. (-6, -9)

  4. (6, -9)

Reflection

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Answer

Given,

Let the point (-6, 9) be P.

We know that,

On reflecting in y-axis, the sign of x-co-ordinate changes.

Let on reflection in y-axis, P(-6, 9) becomes P'.

P(-6, 9) ⇒ P'(6, 9).

We know that,

On reflecting in x-axis the sign of y-co-ordinate changes.

Let on reflection in x-axis, P'(6, 9) becomes P".

P'(6, 9) ⇒ P"(6, -9).

Hence, Option 4 is the correct option.

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