The number of tangents to the curve P W \( y^{2}-2 x^{3}-4 y+8=0 \)...

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The number of tangents to the curve
P
W \( y^{2}-2 x^{3}-4 y+8=0 \) that pass through \( (1,2) \) is
(1) 3
(2) 1
(3) 2
(4) 6
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