If and are the radii of smallest and largest circles which passes through (5, 6) and…

MATHEMATICS · Single correct · ICSE · Mathematics · Geometry · Geometry

Problem

r_1

and

r_2

are the radii of smallest and largest circles which passes through (5, 6) and touches the circle

(x - 2)^2 + y^2 = 4

, then

r_1 r_2

is (1)

\frac{4}{41}

(2)

\frac{41}{4}

(3)

\frac{5}{41}

(4)

\frac{41}{5}