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Three circles of equal radii touch (but not cross) each other externally. Two other circles, X and Y , are drawn such that both touch (but not cross) ...

CAT Hard Circles MCQ

Question

Three circles of equal radii touch (but not cross) each other externally. Two other circles, X
and Y
, are drawn such that both touch (but not cross) each of the three previous circles. If the radius of X
is more than that of Y
, the ratio of the radii of X
and Y
is

Options

A.
2+3:12 + \sqrt{3} : 1
B.
4+3:14 + \sqrt{3} : 1
C.
7+43:17 + 4\sqrt{3} : 1
D.
4+23:14 + 2\sqrt{3} : 1
cat 2024ratiostriangles

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