Mathematics
Reflection of P(a, b) in y-axis followed by reflection in origin is :
(-a, -b)
(a, b)
(-a, b)
(a, -b)
Answer
We know that,
On reflecting in y-axis the sign of x co-ordinate changes.
Let on reflection in y-axis point P(a, b) becomes P'.
P(a, b) ⇒ P'(-a, b).
We know that,
On reflecting in origin the sign of both x and y co-ordinate changes.
Let on reflection in origin point P'(-a, b) becomes P".
P'(-a, b) ⇒ P"(a, -b).
Hence, Option 4 is the correct option.
Related Questions
Reflection of P(a, b) in y-axis followed by reflection in x-axis is :
(-a, b)
(a, -b)
(-a, -b)
(a, b)
Reflection of P(a, b) in x-axis followed by reflection in origin is :
(a, b)
(-a, -b)
(-a, b)
(-a, -b)
The co-ordinates of the point (4, -7) when reflected in the x-axis followed by the reflection in the y-axis is :
(4, -7)
(-4, 7)
(4, 7)
(-4, -7)
The co-ordinates of the image of the point (-6, 9) when reflected in y-axis followed by the reflection in x-axis is :
(-6, 9)
(6, 9)
(-6, -9)
(6, -9)