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Two circles touch each other at point X. A common tangent touches them at two distinct points Y and Z. If another tangent passing through X cut YZ at A and XA = 16 cm, then what is the value (in cm) of YZ?

Two circles touch each other at point X. A common tangent touches them at two distinct points Y and Z. If another tangent passing through X cut YZ at A and XA = 16 cm, then what is the value (in cm) of YZ? Correct Answer 32

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Lengths of two tangents from the common point are equal

⇒ XA = YA = 16 cm (common point A)

Similarly,

⇒ XA = ZA = 16 cm (common point A)

∴ YZ = YA + ZA = 32 cm

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