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The reflection of the point (4,-13) in the S.L 5x+y+6=0 is the point??
Dear anand s
let the reflection is (h,k)
mid point of (h,k) and (4,-13) lies on straight line
and slope of line and the line joining by point(h,k) and (4,-13) are perpendicular
slope of the line =-5
slope of line joining by point(h,k) and (4,-13)=(k+13)/(h-4)
so (k+13)/(h-4) * (-5) =-1
5k +65 =h-4
or h= 5k +69 ......1
and mid point lie on line
so 5(h+4)/2 + (k-13)/2 +6 = 0
or 5(h+4) + (k-13) +12 = 0
5h + k +19 =0..............2
solve above two equation
point(-1 ,-14)
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