Mathematics
The co-ordinates of the image of the point (7, 11) when reflected in x-axis followed by the reflection in origin is :
(-7, 11)
(7, 11)
(-7, -11)
(7, -11)
Reflection
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Answer
Given,
Let the point (7, 11) be P.
We know that,
On reflecting in x-axis the sign of y co-ordinate changes.
Let on reflection in x-axis, P(7, 11) becomes P'.
P(7, 11) ⇒ P'(7, -11).
We know that,
On reflecting in origin the sign of both x and y co-ordinate changes.
Let on reflection in origin, P'(7, -11) becomes P".
P'(7, -11) = P"(-7, 11).
Hence, Option 1 is the correct option.
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