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`        The equation of family of curves for which the length of normal is equal to the radius vector`
7 years ago

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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```
7 years ago
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