The right-angled triangle has two circles touching its sides as shown. If the angle at \( \mathr...

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The right-angled triangle has two circles touching its sides as shown. If the angle at \( \mathrm{R} \) is \( 60^{\circ} \) and the radius of the smaller circle is 1 , then the radius of the larger circle is
(a) \( 2 \sqrt{3} \)
(b) 2
(c) \( 2 \sqrt{2} \)
(d) 3
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