JEE Questions for Maths Differential Equations Quiz 10 - MCQExams.com


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  • log y

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The slope of a curve at any point is the reciprocal of twice the ordinate at the point it passes through the point (4, 3). The equation of the curve is

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  • Rectangular hyperbola
  • Straight line passing through origin
  • Parabola whose vertex is at origin
  • Circle whose centre is at origin

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  • –5/3
  • –1
  • 1
  • 5/3

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  • Variable radii and a fixed centre at (0, 1)
  • Variable radii and a fixed centre at (0, –1)
  • Fixed radius 1 and variable centres along the x-axis
  • Fixed radius 1 and variable centres along the y-axis

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  • 1
  • –1
  • 2
  • 0

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  • 5
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  • 3
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A normal is drawn at a point P(x,y) of a curve. It meets the x–axis at Q. If PQ is of constant length k, then the differential equation describing such a curve is

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The differential equation of the family of parabolas with focus at the origin and the x-axis as axis is

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The differential equation of the family of curves for which the length of the normal is equal to a constant k, is given by

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