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JEE MATHEMATICS MCQ: DIFFERENTIAL EQUATIONS
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The curve whose subtangent is times the abscissa of the point of contact and passes through represent
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Correct option: D
a parabola with vertex origin and axes coincide with -axis for
Option D (a parabola with vertex origin and axes coincide with -axis for ) is correct because the given condition leads to the equation , which represents a parabola when with vertex at the origin and axis along the x-axis.
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Let be the solution of the differential equation such that . Then is equal to :
The degree and order of the differential equation whose solution is a parabola whose axis is -axis, are
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