From option (a). ‌x=4‌cos‌t,y=4sin‌t ‌x2=16cos2t,y2=16sin‌2t So, x2+y2=16, so this equation of a circle. From option (b), ‌x2−2=−2‌cos‌t,y=cos2(‌t∕2) ‌x2=2−2‌cos‌t.....(i) ‌y=‌1+cos∕2 .....(ii) From Eq. (ii), cos‌t=2y−1 Now, x2=2−2‌cos‌t x2=2−2(2y−1)⇒x2=2−4y+2 x2=4−4y So, this is represent the parabola.