Question

1. Point A is reflected in y-axis to get point B.
2. Point B is reflected in origin to get point C.
3. Point C is reflected in y = 0 to get point P. Now, which of the following coincides with point P.

पर्याय

• Point A

• Point B

• Points B and C

• Points A and B

Answer 1

Point A

Explanation:

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.