Let c be the curve x t 2 cos t y t 4 sin t t 2 π

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8. Let C be the curve x ( t ) = 2 cos t, y ( t ) = 4 sin t, 0 t 2 π . Which of the following is/are true about the curve C ? P. The point on the curve C moves around the ellipse parenleftBig x 2 parenrightBig 2 + parenleftBig y 4 parenrightBig 2 = 1 in the clockwise direction as t increases from 0 to 2 π . Q. The curve C is decreasing when 0 < t < π 2 . R. The curve C has two horizontal tangent lines at t = π 2 and t = 3 π 2 .
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