Mathematics
(i) Point A is reflected in y-axis to get point B.
(ii) Point B is reflected in origin to get point C.
(iii) Point C is reflected in y = 0 to get point P. Now, which of the following coincides with point P.
Point A
Point B
Points B and C
Points A and B
Reflection
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Answer
Let point A be (x, y).
We know that,
On reflection in y-axis the sign of x co-ordinate changes.
Given,
Point A is reflected in y-axis to get point B.
∴ A(x, y) = B(-x, y)
We know that,
On reflection in origin the sign of both x and y co-ordinate changes.
Given,
Point B is reflected in origin to get point C.
∴ B(-x, y) = C(x, -y)
We know that,
On reflection in x-axis (or y = 0) the sign of y co-ordinate changes.
Given,
Point C is reflected in y = 0 to get point P.
∴ C(x, -y) = P(x, y).
∴ P coincides with point A.
Hence, Option 1 is the correct option.
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