A ray of light is sent from the point \( (1,4) \). Upon reaching th...

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A ray of light is sent from the point \( (1,4) \). Upon reaching the \( x \)-axis, the ray is reflected from the point \( (3,0) \). This reflected ray is again reflected by the line \( x+y=5 \) and intersect \( y \)-axis at \( P \). Find the co-ordinate of \( \mathrm{P} \).
\( \mathrm{P} \)
(A) \( \left(\frac{1}{2}, 0\right) \)
(B) \( \left(0, \frac{-1}{2}\right) \)
(C) \( \left(0, \frac{1}{3}\right) \)
(D) \( \left(2, \frac{1}{-2}\right) \)
W)
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