Let two chords AB and AC of the larger circle touch the

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

1. BC
2. 1 BC
  2
3. 1 BC
  3
4. 1 BC
  4

Correct Option: B

As per the given in question , we draw a figure of two circles in which two chords AB and AC of the larger circle touch the smaller circle having same centre at X and Y

AX = AY = tangents from an exterior point
∠AXO = ∠AYO = 90°
∴ AX = XB ; AY = YC

∴ XY \|\| BC and XY =	1	BC
	2