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JEE MATHEMATICS MCQ: DIFFERENTIAL EQUATIONS

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The curve whose subtangent is nn times the abscissa of the point of contact and passes through (2,3)(2,3) represent
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Correct option: D
a parabola with vertex origin and axes coincide with xx-axis for n=2n=2
Option D (a parabola with vertex origin and axes coincide with xx-axis for n=2n=2) is correct because the given condition leads to the equation yn=Cxy^n = Cx, which represents a parabola when n=2n=2 with vertex at the origin and axis along the x-axis.

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