Q16 of 462 Page 22

Represent the following families of curves by forming the corresponding differential equations (a, b being parameters):
x² + (y – b)² = 1

On differentiating we get,

Put (ii) in (i),

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

x² – y² = a²

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):

(x – a)² – y² = 1

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

Represent the following families of curves by forming the corresponding differential equations (a, b being parameters):x2 + (y – b)2 = 1