Question

The point $(4,1)$ undergoes the following successive transformations:
(i) reflection about the line $y=x$
(ii) translation through a distance $2$ units along the positive x-axis.
Then, the final coordinates of the point are

• A. $(4,3)$
• B. $(3,4)$
• C. $(1,4)$
• D. $(4,4)$

Answer 1

The correct option is B $(3,4)$

After undergoing the first transformation the given point becomes (1,4).When this point is translated through a distance 2 units along the positive x-axis, x coordinate will increase from 1 to 3.The final coordinates of the point now becomes (3,4).