# Two circles touch each other at point X. A common tangent touch the

| Two circles touch each other at point X. A common tangent touch 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?

A. 18

B. 24

C. 16

D. 32

### Right Answer is: D

#### SOLUTION

We know that XA = YA = ZA

Required

YZ = AY + AZ =XA + XA= 2 × XA = 2×16 = 32

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Two circles touch each other at point X. A common tangent touch the