Q83 / 160 · TS EAMCET 2020 (10 Sep Shift 2) · Mathematics

The point $(4,1)$ undergoes the following transformations successively : (i) Reflection is the line $x-y=0$ (ii) Shifting through a distance of 2 units along the positive $X$-axis (iii) Projection on $X$-axis The coordinates of the point in its final position are

  • A
    $(3,4)$
  • B
    $(4,3)$
  • Correct answer
    C
    $(3,0)$
  • D
    $(4,0)$

Solution

(c) We have, The point $(4,1)$ undergoes the following transformations (i) Reflection in the line $x-y=0$ $\because$ Reflection of point $(4,1)$ to line $x-y=0$ is $(1,4)$ (ii) Shifting through a distance of 2 units along the positive $X$-axis then $(1+2,4) \equiv(3,4)$ (iii) Projection of $(3,4)$ in $X$-axis is $(3,0)$ $\therefore$ The new coordinates is $(3,0)$

Hence, the correct answer is option: 'C'.

Relevant Questions