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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 ┬╜ BC Correct Answer Incorrect Answer
      C 1/3 BC Correct Answer Incorrect Answer
      D ┬╝ BC Correct Answer Incorrect Answer

      Solution

      Ax = Ay tangent XB from тИЖOXB = R²-r² = XB ---(1) YC from тИЖOYC = 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 тАЦ BC So, => xy = ½ BC

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