Q16 of 462 Page 22

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


b2x2 – a2y2 = a2b2


On differentiating with respect to x we get,




Again, differentiating with respect to x we get,




Putting this value of b2 in (i) we get,





More from this chapter

All 462 →
16

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

x2 + (y – b)2 = 1

 16

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

(x – a)2 – y2 = 1

 16

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

y2 = 4 a (x – b)

 16

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

y = ax3