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The differenital equation of all circles...

The differenital equation of all circles whose centres are at the origin is

A

`(dy)/(dx) = y/x`

B

`(dy)/(dx) = x/y`

C

` (dy)/(dx) = - x/y`

D

none of the above

Text Solution

Verified by Experts

The correct Answer is:
A
` x^(2)+y^(2) =r^(2)`
differentiating both sides w.r.t,x
` 2x +2y (dy)/(dx) =0`
` (dy)/(dx) = - x/y`
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NDA PREVIOUS YEARS-DIFFERENTIAL EQUATION-MCQs
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