Q16 of 462 Page 22

Represent the following families of curves by forming the corresponding differential equations (a, b being parameters):
(x – a)² – y² = 1

Differentiating with respect to x we get,

Now putting the value of (x – a) in the initial equation, we get

Represent the following families of curves by forming the corresponding differential equations (a, b being parameters):

y² = 4ax

Represent the following families of curves by forming the corresponding differential equations (a, b being parameters):

x² + (y – b)² = 1

Represent the following families of curves by forming the corresponding differential equations (a, b being parameters):

y² = 4 a (x – b)

Represent the following families of curves by forming the corresponding differential equations (a, b being parameters):(x – a)2 – y2 = 1