The point on the curve 4y^2-4y+2x-1=0 at which the tangent becomes parallel to Y-axis is

MHT CET 2025 Mathematics question

The point on the curve at which the tangent becomes parallel to Y-axis is

Answer: (A)

A tangent parallel to the Y-axis is vertical, i.e. , which means . Differentiate the curve w.r.t. : . Setting it to : . Substitute in the curve:

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Question ID VK-102582