#### Question

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

#### Solution

The equation of a circle in the first quadrant with centre (*a*, *a*) and radius (*a)* which touches the coordinate axes is:

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Solution Form the Differential Equation of the Family of Circles in the First Quadrant Which Touch the Coordinate Axes. Concept: Procedure to Form a Differential Equation that Will Represent a Given Family of Curves.