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pallavi pradeep bhardwaj Grade: 12
        

The equation of family of curves for which the length of normal is equal to the radius vector

7 years ago

Answers : (1)

Badiuddin askIITians.ismu Expert
147 Points
										

Dear pallvi


let a general point on the curve (x,y)


 length of radius vector = √x2 +y2


 lengt of normal is  =y√(1+(dy/dx)2)


given   √x2 +y2   =y√(1+(dy/dx)2)


   or   x2 +y2   =y2(1+(dy/dx)2)


 or     x2    =y2(dy/dx)2


 or  dy/dx = ±x/y


    ydy  =±xdx


    y2/2  =± x2/2  +c


   y2  ± x2  =c


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Badiuddin

7 years ago
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