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Fid the differential equation of all the parabolas with latus rectum `'4a '` and whose axes are parallel to x-axis.

A

`2(d^(2)y)/(dx^(2))+((dy)/(dx))^(3)=0`

B

`2(d^(2)y)/(dx^(2))-((dy)/(dx))^(3)=0`

C

`2a(d^(2)y)/(dx^(2))+((dy)/(dx))^(3)=0`

D

`2a(d^(2)y)/(dx^(2))-((dy)/(dx))^(3)=0`

Text Solution

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The correct Answer is:
C
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