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)

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., $(3,4)$.