The image of the point (6, 5) in the line x = | vedclass

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Question

(A) Let the point be $P(6, 5)$ and the line be $x = 3$.Since the line is vertical $(x = k)$,the $y$-coordinate of the image $P'(x', y')$ remains the s

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$(0, 5)$

Vedclass · Answer

(A) Let the point be $P(6, 5)$ and the line be $x = 3$.Since the line is vertical $(x = k)$,the $y$-coordinate of the image $P'(x', y')$ remains the same as the original point,so $y' = 5$.The distance of the point $P$ from the line $x = 3$ is $|6 - 3| = 3$ units.The image $P'$ must be at the same distance on the other side of the line.Thus,$x' = 3 - 3 = 0$.Therefore,the image of the point $(6, 5)$ in the line $x = 3$ is $(0, 5)$.

The image of the point $(6, 5)$ in the line $x = 3$ is

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