Q. 94.7( 7 Votes )

Form the differen

Answer :

Equation of circles with radius r which touch x axis at the origin is given by

x2 + (y – r)2 = r2

x2 + y2 + r2 – 2ry = r2

x2 + y2 = 2ry … (1)

Differentiating both sides w.r.t. x, we get

2x + 2yy’ = 2ry’

Substituting r from (2) in (1), we get

(x2 + y2)y’ = 2y(x + yy’)

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