(A) The equation of the family of all concentric circles centered at $(h, k)$ is given by $(x-h)^2 + (y-k)^2 = r^2$. Here,$(h, k)$ are fixed constants

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(A) The equation of the family of all concentric circles centered at $(h, k)$ is given by $(x-h)^2 + (y-k)^2 = r^2$. Here,$(h, k)$ are fixed constants (the center),and $r$ is the radius,which is the only arbitrary parameter. Since there is only one arbitrary parameter $(r)$,the order of the differential equation is equal to the number of arbitrary parameters. Therefore,the order of the differential equation is $1$.

Class 12 Mathematics Differential Equations Formation of differential equations

Medium

The order of the differential equation of the family of all concentric circles centered at $(h, k)$ is

AP EAMCET 2002 All AP EAMCET

TS EAMCET 2002 All TS EAMCET

A
$1$
B
$2$
C
$3$
D
$4$

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The order of the differential equation of the family of all concentric circles centered at $(h, k)$ is

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