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

JEE Advanced Mathematics question

The number of tangents to the curve that pass through is

Answer: (C)

Note is not on the curve (). Differentiating: .

Tangent at : . It passes through iff

2 - β = (1-α) ⇒

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Question ID VK-109366