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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Point M(x, y) is reflected in line AB, the reflection of M(x, y) in AB is the point M itself.
Assertion (A) : The reflection is called invariant transformation.
Reason (R) : In case of invariant transformation, the point is its own image.
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A is false, R is true.
Both A and R are true and R is correct reason for R.
Both A and R are true and R is incorrect reason for R.