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Tapasranjan Das Grade: 12
        

Q:- The point on the circle 16(x2+y2)+48x-8y-43=0 nearest to the line 8x-4y+73=0 is _______________

7 years ago

Answers : (1)

Badiuddin askIITians.ismu Expert
147 Points
										

Dear tapasranjan


16(x2+y2)+48x-8y-43=0


 x2+y2+3x-1/2 y- 43/16=0


 (x+3/2)2 + (y-1/4)2 =5


now find the equation of line perpendicular to the given line and passes through center of the circle.


 it will come  x+2y+1 =0


now find the point of intersection of this line to the given circle.


points will come (-7/2 ,5/4)  and (1/2,-3/4)


now find the length of perpendicual from these point to the given line . point which correspond to small length of pendicular is the desired point


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Badiuddin




 



7 years ago
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