Solution: Given that ,
Solution: Given ,
with as parameter.
Diffrentiating , w.r.t ,
Eliminating w fram and , we get
or
Which is the diffrential equation of the given family of curve .
Replacing by in the differential equation of the orthiogonal trajectories is
or
or
Integrating ,
@ Anagh Sharma
Diffrentiating w.r.t , we get
Now from and
Eliminating from and , we get