The graph represented by equations $x = {sin}^{2} t, y = 2 cos t$ is

hyperbola

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sine graph

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parabola

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straight line

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Solution

The correct option is C parabola
The graph represented by equation $x = {sin}^{2} t$ and $y = 2 cos t$ is:
$x = {sin}^{2} t = 1 - {cos}^{2} t = 1 - {(\frac{y}{2})}^{2} = y^{2} = - 4 (x - 1)$
This equation is of parabola.

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