In the given equilateral triangle, the smaller circle and the bigger semi circle are inscribed inside. What is the value of XY
Options:
A .  3
B .  2
C .  4
D .  4.5
E .  111m
Answer: Option A : A Line PV bisects line QR. ΔPST and ΔTUV are similar. HenceZY+X=YX=Y;⇒YZ=X−YX+Y; but in ΔPST, YZ = sin 30 = 12 Hence(12) = X−YX+Y;⇒XY=3
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