The co-ordinates of the point (4, -7) when reflected in the x-axis followed by the reflection in the y-axis is :

1. (4, -7)

2. (-4, 7)

3. (4, 7)

4. (-4, -7)

Given,

Let the point (4, -7) be P.

We know that,

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

Let on reflection in x-axis, P(4, -7) becomes P'.

P(4, -7) ⇒ P'(4, 7).

We know that,

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

Let on reflection in y-axis P'(4, 7) becomes P".

P'(4, 7) ⇒ P"(-4, 7).

Hence, Option 2 is the correct option.