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.

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KollegeApply · Accepted Answer

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.

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