A) a straight line
B) a parabola
C) a hyperbola
D) None of these
Correct Answer: B
Solution :
Since, subnormal = constant \[\therefore \]\[y\frac{dy}{dx}=k,\]where k is constant. \[\Rightarrow \]\[ydy=kdx\]\[\Rightarrow \]\[\frac{{{y}^{2}}}{2}=kx+{{c}_{1}}\] \[\Rightarrow \]\[{{y}^{2}}=2kx+2{{c}_{1}}\] Which represents an equation of parabola.
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