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    Which of the following functions is differentiable at x = 0?

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    LL' is the latus rectum of the parabola y² = 36x and PP' is double ordinate drawn between the vertex and the latus rectum. The area of the trapezium PP'L'L is maximum when the distance of PP' from the vertex is

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    The area enclosed by the curve x = a cos³ t, y = b sin³ t and the positive directions of x-axis and y-axis is

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