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JEE Main 2022 Mathematics question

MathematicsThree Dimensional GeometryJEE Main 2022

Let x = 2t, be a conic. Let S be the focus and B be the point on the axis of the conic such that SA BA, where A is any point on the conic. If k is the ordinate of the centroid of the , then is equal to

Answer: (4)

Solution

Eliminating t gives , a parabola with focus S(0, 3) and axis the y-axis. As , , 1/3). Let B = (0, ) on the axis with SA BA: AS =

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Question ID VK-025002