Q19 of 45 Page 1

Form the differential equation of the family of circles touching the y-axis at the origin.

Given; Circles touching the y-axis at the origin.

∴ Center of the circles are given by (r,0); ‘r’ is the radius.


The equation of these circles is;


(x − r)2 + (y − 0)2 = r2


∴ x2 + y2 − 2rx = 0


Differentiating w.r.t x; we get





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