Q16 of 462 Page 22

Represent the following families of curves by forming the corresponding differential equations (a, b being parameters):
y² = 4ax

On differentiating we get,

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):

x² – y² = a²

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):

(x – a)² – y² = 1

Represent the following families of curves by forming the corresponding differential equations (a, b being parameters):y2 = 4ax