Conic-Sections Question 585
Question: The curve represented by $ x=2(cost+sint),,y=5(cost-sint) $ is
Options:
A) A circle
B) A parabola
C) An ellipse
D) A hyperbola
Show Answer
Answer:
Correct Answer: C
Solution:
[c] $ x=2\cos ,t+sin,t $ $ y=5(cos,t-sin,t)\Rightarrow \frac{x^{2}}{4}+\frac{y^{2}}{25}=2\Rightarrow $ Ellipse