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Mathematics

The co-ordinates of the image of the point (-5, -8) when reflected in y-axis followed by the reflection in origin is :

  1. (-5, 8)

  2. (5, -8)

  3. (-5, -8)

  4. (5, 8)

Reflection

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Answer

Given,

Let the point (-5, -8) be P.

We know that,

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

Let on reflection in y-axis, P(-5, -8) becomes P'.

P(-5, -8) ⇒ P'(5, -8).

We know that,

On reflecting in origin the sign of both x and y co-ordinate changes.

Let on reflection in origin, P'(5, -8) becomes P".

P'(5, -8) ⇒ P"(-5, 8).

Hence, Option 1 is the correct option.

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