Mathematics
Assertion (A): The point (0, 7) is invariant under the reflection in y-axis.
Reason (R): The image of a point P(x, y) when reflected in the y-axis is P'(-x, y).
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
Since, x-coordinate of point (0, 7) is 0, thus it lies on y-axis.
A point is invariant on reflection in the line on which it lies.
∴ Assertion (A) is true.
On reflection in y-axis,
The y-coordinate remains same and the sign of x-coordinate changes.
Thus, P(x, y) when reflected in the y-axis becomes P'(-x, y).
∴ Reason (R) is true.
Both A and R are true.
Hence, option 3 is the correct option.
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