Question

Assertion (A): The point (–2, 8) is invariant under reflection in line x = –2.

Reason (R): If a point has its x-coordinate 0, it is invariant under reflection in both axes.

Options

• Both A and R are correct and R is the correct explanation for A.

• Both A and R are correct and R is not the correct explanation for A.

• A is true, but R is false.

• Both A and R are true.

Answer 1

A is true, but R is false.

Explanation:

A: True (–2, 8) lies on the line x = –2, so reflecting across that line leaves the point unchanged (invariant).

R: False x = 0 means the point lies on the y-axis, so it is invariant under reflection in the y-axis only, not under reflection in the x-axis unless its y-coordinate is also 0.