Comprehension \( \quad \) Let \( C_{1}, C_{2} \) are two circles each of radius 1 touching inter...

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Comprehension \( \quad \) Let \( C_{1}, C_{2} \) are two circles each of radius 1 touching internally the sides of triangles \( P O A_{1}, P A_{1} A_{2} \) respectively where \( P \equiv(0,4) \mathrm{O} \) is origin, \( A_{1}, A_{2} \) are the points on positive \( x \)-axis.
On the basis of above passage, answer the following questions:
Angle subtended by circle \( C_{1} \) at \( P \) is
(a) \( \tan ^{-1} \frac{2}{3} \)
(b) \( 2 \tan ^{-1} \frac{2}{3} \)
(c) \( \tan ^{-1} \frac{3}{4} \)
(d) \( 2 \tan ^{-1} \frac{3}{4} \)
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