Question

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

• A. $(4, 3)$
• B. $(3, 4)$
• C. $(1, 4)$
• D. $\left(\frac{7}{2}, \frac{7}{2}\right)$

Answer 1

Answer: (B)

$(3, 4)$

Answer 2

The image of the point $(4, 1)$ after reflection about the line $y = x$ is $(1,4)$. And then translation through a distance of $2$ units along positive $x$-axis. $\therefore$ Final position of a point is $(1 + 2,4)$ i.e., $(3,4)$.