Its all about reflections
Geometry
Level
5
line L is 3x+2y+10=0 A(5,2),B(3,4) then point p on line l for which mod |PA-PB| is maxium is (c,d)? Find(- c+d)
The answer is 55.
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1 solution
Line L : 3x+2y+10=0. A(5,2) B(3,4) |PA - PB| = 0 Consider the line y-2 = m(x-5)=> y-2 = (-1)(x-5) => x + y = 7 [m = (4-2)/(3-5) = -1] 3x + 2y = -10, x + y = 7 => x = -24, y = 31. (-24, 31) c = -24, d = 31. -c+d = 55.