Question

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 Pis called an invariant point with respect to a given line L, if its image in the line L is the point P itself.

पर्याय

• Both the statements are true.

• Both the statements are false.

• Statement 1 is true, and statement 2 is false.

• Statement 1 is false, and statement 2 is true.

Answer 1

Statement 1 is false, and statement 2 is true.

Explanation:

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.