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The conic represented by x = 2 (cos t + sin t), y = 5 (cos t - sin t) is

Answer:

Explanation:

From given equations

x/2 = cos t + sin t

y/5 = cos t - sint 

Eliminating t from these equations, we have 

$\frac{x^{2}}{4}+\frac{y^{2}}{25}$ = 2

$\frac{x^{2}}{8}+\frac{y^{2}}{50}$ = 1 is an ellipse