Mathematics
Points (-5, 1) and (4, 1) are invariant points under reflection in the line L.
Statement 1: The equation of the line L is x = 1.
Statement 2: A point P is called an invariant point with respect to a given line L, if its image in the line L is the point P itself.
Both the statement are true.
Both the statement are false.
Statement 1 is true, and statement 2 is false.
Statement 1 is false, and statement 2 is true.
Reflection
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Answer
Given, points (-5, 1) and (4, 1) are invariant points under reflection in the line L.
The points (-5, 1) and (4, 1) lie on the line y = 1, so the points remains invariant under the reflection in the line y = 1.
So, statement 1 is false.
According to statement 2, a point P is called an invariant point with respect to a given line L, if its image in the line L is the point P itself.
So, statement 2 is true.
Hence, option 4 is the correct option.
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