eliminating 't' we get, $\frac{x^{2}}{9}+\frac{y^{2}}{16}=1$ Clearly this is an ellipse.
option
(B) $x^{2}=-\cos t: y=4 \cos ^{2} \frac{t}{2}=2(1+\cos t)$
eliminating 't' we get, $x^{2}=-\left(\frac{y}{2}-1\right)$ Clearly this is parabola.
option (C) $\sqrt{x}=\tan t \sqrt{y}=\sec t$
eliminating 't' we get, $y-x=1$ Clearly this is a straight line
option (D) $x=\sqrt{1-\sin t}: y=\sin \frac{t}{2}+\cos \frac{t}{2}$
$\Rightarrow x^{2}=1-\sin t, y^{2}=1+\sin t$
eliminating 't" we get, $x^{2}+y^{2}=2$ Clearly this is a circle.
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