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Any curve which cuts every member of a g...

Any curve which cuts every member of a given family of curve is called an orthogonal trajectory of family. To get this, we replace `(dy)/(dx)by -(dx)/(dy)` in differential equation.
The orthogonal trajectories for `y=ce^(-x)` represent

A

exponential curves

B

family of ellipses

C

family of circle

D

family of parabolas

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The correct Answer is:
D
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