Two circles of same radii \( r \) and centres \( O \) and \( O^{\pr...

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Two circles of same radii \( r \) and centres \( O \) and \( O^{\prime} \) touch each other at \( P \) as shown If \( O O^{\prime} \) is produced to meet the circle \( C\left(O^{\prime}, r\right) \) at \( A \) and \( A T \) is a tangent to
W the circle \( C(O, r) \) such that \( O^{\prime} Q \perp A T \). Then \( A O: A O^{\prime}= \)
(a) \( 3 / 2 \)
(b) 2
(c) 3
(d) \( 1 / 4 \)
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