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Questions  

Given the system of straight line a(2x + y – 3) + b(3x + 2y – 5) = 0, the line of the system farthest form the point (4, –3) has the equation

a
3x – 4y + 1 = 0
b
4x + 3y – 5 = 0
c
7x – y + 4 = 0
d
none of these

detailed solution

Correct option is A

The given system of lines pass through (1, 1)So, the required line is the through (1, 1) and perpendicularto the join of (1, 1) and (4, –3).∴ The equation of line is y-1x-1=34,ie.,3x-4y+1=0

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