ICSE Class 10 Mathematics
Question 44 of 49
Multiple-Choice Questions — Question 44
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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.
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.
Point (-2, 8) lies on the line x = -2.
The point which lies on a line is invariant under reflection in the same line.
∴ (-2, 8) is invariant under reflection in line x = -2.
∴ Assertion (A) is true.
If a point has x-coordinate equal to 0 it means it lies on y-axis.
∴ It will be invariant under reflection in y-axis.
∴ Reason (R) is false.
Hence, Option 3 is the correct option.