A point P is reflected first in the y-axis and then in the origin to get the point (6, 6). The co-ordinates of the point P are :

1. (6, -6)

2. (-6, -6)

3. (-6, 6)

4. (6, 6)

Let co-ordinates of point P are (x, y) and P" be (6, 6).

We know that,

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

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

⇒ P' = (-x, y)

We know that,

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

Let on reflection in origin P'(-x, y) becomes P".

⇒ P" = (x, -y)

⇒ (6, 6) = (x, -y)

⇒ x = 6 and -y = 6

⇒ x = 6 and y = -6.

P = (x, y) = (6, -6).

Hence, Option 1 is the correct option.