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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
Options:
(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
Solution:
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Verified Answer
The correct answer is:
$(3,0)$
(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 $(3,0)$
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 $(3,0)$
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