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JEE MATHEMATICS MCQ: PAIR OF STRAIGHT LINES

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A light ray coming along the line 3x+4y=53 x+4 y=5, gets reflected from the line ax+by=1a x+b y=1 and goes along the line 5x−12y=105 x-12 y=10, then
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Correct option: C
a=64115,b=−8115a=\frac{64}{115}, b=-\frac{8}{115}
Option C (a=64115,b=−8115a=\frac{64}{115}, b=-\frac{8}{115}) is correct because the line ax+by=1ax + by = 1 must be one of the angle bisectors of the given lines.

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