Question

The conic represented by \[ x = 2(\cos t + \sin t), \quad y = 5(\cos t - \sin t) \] \text{is}

• A. A circle
• B. A parabola
• C. An ellipse
• D. A hyperbola

Hint:

The parametric form of an ellipse is often given by trigonometric functions such as \( \cos \) and \( \sin \).

Answer 1

The Correct Option is C

By simplifying the equations of \( x \) and \( y \), we observe that this represents the equation of an ellipse in parametric form.
Final Answer: \[ \boxed{\text{An ellipse}} \]