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Form the differential equation of the fa...

Form the differential equation of the family of circles in the first quadrant which touch the coordinate axes.

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The correct Answer is:
`(x-y)^2 ( 1+y_1^2) = ( x+ yy_1)^2`
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The differential equation of all circle in the first quadrant touch the coordinate is (a) (x-y)^(2)(1+y')^(2)=(x+yy')^(2) (b) (x-y)^(2)(1+y')^(2)=(x+y')^(2) ( c ) (x-y)^(2)(1+y')=(x+yy')^(2) (d) None of these