Mathematics
Assertion (A): The point (6, 3) is invariant when reflected in the line x = 6.
Reason (R): A point M(a, y) is invariant on the line x = a.
A is true, R is false.
A is false, R is true.
Both A and R are true.
Both A and R are false.
Reflection
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Answer
The line of reflection is x = 6.
The point is (6, 3).
Since the x-coordinate of the point (6) is equal to the constant defining the line (x = 6), the point lies on the line of reflection.
A point is invariant on reflection in the line on which it lies.
Assertion is true.
Since the line x = a is a vertical line, any point whose x-coordinate is 'a' lies on this line. Thus, point M(a, y) lies on it.
Thus, point M is invariant on the line x = a.
Reason is true.
Both A and R are true.
Hence, option 3 is the correct option.
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