isi-entrance 2016 Q23

isi-entrance · India · UGA 4 marks Circles Circles Tangent to Each Other or to Axes
An isosceles triangle with base 6 cms. and base angles $30^\circ$ each is inscribed in a circle. A second circle touches the first circle and also touches the base of the triangle at its midpoint. If the second circle is situated outside the triangle, then its radius (in cms.) is
(A) $3\sqrt{3}/2$
(B) $\sqrt{3}/2$
(C) $\sqrt{3}$
(D) $4/\sqrt{3}$ 
An isosceles triangle with base 6 cms. and base angles $30^\circ$ each is inscribed in a circle. A second circle touches the first circle and also touches the base of the triangle at its midpoint. If the second circle is situated outside the triangle, then its radius (in cms.) is\\
(A) $3\sqrt{3}/2$\\
(B) $\sqrt{3}/2$\\
(C) $\sqrt{3}$\\
(D) $4/\sqrt{3}$
Paper Questions
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