Mathematics
P(-5, m) is invariant with respect to y = 2.
Assertion (A): Value of m is -2.
Reason (R): P lies on y = 2.
Assertion (A) is true, but Reason (R) is false.
Assertion (A) is false, but Reason (R) is true.
Both Assertion (A) and Reason (R) are correct, and Reason (R) is the correct reason for Assertion (A).
Both Assertion (A) and Reason (R) are correct, and Reason (R) is incorrect reason for Assertion (A).
Reflection
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Answer
A point is invariant with respect to a line if lies on the line.
So, if a point is invariant under reflection over y = 2, it must lie on the line y = 2.
So, reason (R) is true.
If P(-5, m) is invariant under reflection over y = 2, so it lies on the line y = 2, so m = 2.
So, assertion (A) is false.
Thus, Assertion (A) is false, but Reason (R) is true.
Hence, option 2 is the correct option.
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Related Questions
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