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anand s Grade:
        

The reflection of the point (4,-13) in the S.L 5x+y+6=0 is the point??


7 years ago

Answers : (1)

Badiuddin askIITians.ismu Expert
147 Points
										

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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Badiuddin

7 years ago
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