The differential equation of family of c...

The differential equation of family of curves `r^(2)=a^(2)cos2 theta` where 'a' is an arbitrary constant is

A

`(dr)/(dtheta)=r tan 2 theta`

B

`(dr)/(d theta)=r cot 2 theta`

C

`(dr)/(d theta)cos2theta+r sin 2theta=0`

D

`(dr)/(d theta)sin 2 theta+r cos 2theta=0`

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The correct Answer is:

3

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