Q8 of 68 Page 910

Form the differential equation of the family of curves given by x2+y2-2ay=a2, where a is an arbitrary constant.

Equation of the family of curves, x2+y2-2ay=a2, where a is an arbitrary constant.


(1)


Differentiating the above equation with respect to x on both sides, we have,






(Substituting 2ax from equation 1)




This is the required differential equation.


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