A light ray coming along the line 3x + 4y = 5 gets reflected from the line ax + by = 1 and goes along the line 5x - 12y = 10. Then,
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a
a=64/115,b=112/15
b
a=14/15,b=−8/115
c
a=64/115,b=−8/115
d
a=64/15,b=14/15
answer is C.
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Detailed Solution
ax + by = 1 will be one of the bisectors of the given lines Equations of bisectors of the given lines are 3x+4y−55=±5x−12y−1013 or 64x−8y=115 or 14x+112y=15 or a=64115,b=−8115 or a=1415,b=12115