The area bounded by the curve x^2=ky, k>0 and the line y=3 is 12 unit^2. Then k is

JEE Advanced Mathematics question

The area bounded by the curve and the line is unit. Then is

Answer: (A)

*(Figure: upward parabola through , cut by the horizontal line ; the region between them is shaded.)*

Integrate along ; for the horizontal width is

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Question ID VK-109584