Mathematics
The point P is reflected in x = 0 to get the point P' and the point P' is reflected in y = 0 to get the point P". Which two points out of P, P' and P" are invariant under this reflection.
P" = P
P" = P'
P' = P
no-one
Reflection
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Answer
Let co-ordinate of P be (x, y).
We know that,
On reflection in y-axis (x = 0), the sign of x-coordinate changes.
P(x, y) = P'(-x, y)
We know that,
On reflection in x-axis (y = 0), the sign of y-coordinate changes.
P'(-x, y) = P"(-x, -y)
No two points have same co-ordinate, there are no points that are invariant.
Hence, Option 4 is the correct option.
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