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Consider the family of curves represente...

Consider the family of curves represented by the equation
` (x - h)^(2) + (y - k)^(2) = r^(2) ` where h and k are arbitrary constants .
The differential equation of the above family is of order-

A

1

B

2

C

3

D

4

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Knowledge Check

  • The differential equation of the family of curves y^(2)=4a(x+a) is -

    A
    `2y(dy)/(dx)=(d^(2)y)/(dx^(2))`
    B
    `(2x+y (dy)/(dx))(dy)/(dx)=y`
    C
    `y(d^(2)y)/(dx^(2))+((dy)/(dx))^(2)=0`
    D
    `y^(2)(dy)/(dx)+4y+1=0`

  • Which of the following curves represents the equation x^2=-y ?

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    B
    C
    D

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