If y=4x-5 is tangent to the curve y^ 2 =px^ 3 +q at (2,3), then

MHT CET 2022 Mathematics question

If is tangent to the curve at , then

Answer: (A)

The point lies on the curve: ... (1). Differentiating the curve, , so . At the slope is . This equals the slope of the tangent , which is :

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Question ID VK-093882