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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) Please feel free to post as many doubts on our discussion forum as you can. If you find any question Difficult to understand - post it here and we will get you the answer and detailed solution very quickly. We are all IITians and here to help you in your IIT JEE preparation. All the best. Regards, Askiitians Experts Badiuddin
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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