The angle subtended by common tangents of two ellipses P \( 4(x-4)^...

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The angle subtended by common tangents of two ellipses
P \( 4(x-4)^{2}+25 y^{2}=100 \) and \( 4(x+1)^{2}+y^{2}=4 \) at the origin is

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(1) \( \pi / 3 \)
(2) \( \pi / 4 \)
(3) \( \pi / 6 \)
(4) \( \pi / 2 \)
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