A ray of light travelling along the line x + 3y = 5 is incident on the x-axis and after refraction it enters the other side of the x-axis by turning π6away from the x-axis. The equation of the line along which the refracted ray travels is
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a
x+3y-53=0
b
x-3y-53=0
c
3x+y-53=0
d
3x-y-53=0
answer is C.
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Detailed Solution
The refracted ray passes through the point (5, 0) and makes an angle 120º with positive direction of x-axis∴ The equation of the refracted ray is (y – 0) = tan 120º (x – 5)⇒y=-3(x-5) or 3x+y-53=0