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Mathematics

The point P(-14, -18) is reflected in origin and after that reflected in x-axis. The co-ordinates of the image of point P are :

  1. (-14, -18)

  2. (14, -18)

  3. (-14, 18)

  4. (14, 18)

Reflection

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Answer

We know that,

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

Let on reflection in origin P(-14, -18) becomes P'.

P(-14, -18) ⇒ P'(14, 18).

We know that,

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

Let on reflection in x-axis, P'(14, 18) becomes P".

P'(14, 18) ⇒ P"(14, -18).

Hence, Option 2 is the correct option.

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