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Question

Let two chords AB and AC of the larger circle touch the smaller circle having same centre at X and Y. Then XY = ?

A BC Correct Answer Incorrect Answer
B ½ BC Correct Answer Incorrect Answer
C 1/3 BC Correct Answer Incorrect Answer
D ¼ BC Correct Answer Incorrect Answer

Solution

Ax = Ay tangent XB from ∆OXB = R²-r² = XB ---(1) YC from ∆OYC = R²-r²=YC ---(2) Ax = AY = R2 – r 2 -----(3) AY = YC and AX = XB by 1,2 and 3 that x and Y will be midpoint of AB & AC that means by thele’s theorm XY ‖ BC So, => xy = ½ BC

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