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).
Both A and R are true, and R is the correct explanation of A.
Both A and R are true, but R is not the correct explanation of A.
A is true, but R is false.
A is false, but R is true.
Reflection
1 Like
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 false.
Hence, option 3 is the correct option.
Answered By
3 Likes
Related Questions
If the point A(m, n) is first reflected in the x-axis and then reflected in the y-axis to the point A"(-12, -18), then the value of (2m - n) is :
6
-6
-30
30
If the point A(m, n) is first reflected in the y-axis and then reflected in the x-axis to the point A"(-10, 15), then the value of (m - n) is :
-25
-5
5
25
Assertion (A): The reflection of the point A(-4, 2) in the origin is the point A'(4, 2).
Reason (R): The image of a point P(x, y) when reflected in the origin is P'(-x, -y).
Both A and R are true, and R is the correct explanation of A.
Both A and R are true, but R is not the correct explanation of A.
A is true, but R is false.
A is false, but R is true.
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.
Both A and R are true, and R is the correct explanation of A.
Both A and R are true, but R is not the correct explanation of A.
A is true, but R is false.
A is false, but R is true.