Question

The curve represented by x = 3 (cos t + sin t), y = 4

(cost t - sin t) is:

• A. Ellipse
• B. Parabola
• C. Hyperbola
• D. Circle

Answer 1

Answer: (A)

Ellipse

Answer 2

$\frac{x}{3}$ = cos t + sin t, $\frac{y}{4}$ = cos t - sin t

Squaring and adding, we get $\frac{x^{2}}{9} + \frac{y^{2}}{16} = 2$.