Q.

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
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