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A ray of light coming from the point (1,2) is reflected at a point A on the x-axis and then passes through the point (5,3). What are the co-ordinates of point A?
2 years ago

siddharth gupta
28 Points

Assume the x-axis to be a  mirror.
take the image of (1,2) in x-axis i.e(1,-2).
as we know that reflected ray when extended back passes through the image of a point on incident ray i.e reflected ray passes through (1,-2) and (5,3).
...from two point form eqn of refl.ray=5x-4y-13=0.
put y=0 ...point of incidence=(13/5,0).
with regards
SIDDHARTH GUPTA
2 years ago
Arun Kumar
IIT Delhi
256 Points

Hello
$\\ tan(\theta)={2 \over 1-x} \\tan(\pi -\theta)={3 \over 5-x}=-tan(\theta)=-{2 \over 1-x} \\3x-3=5-x \\=>4x=8 \\=>x=2$
Thanks & Regards
Arun Kumar
Btech, IIT Delhi
2 years ago
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