Conic Sections Question 405
Question: The curve represented by $ x=3(\cos t+\sin t) $ , $ y=4(\cos t-\sin t) $ is
[EAMCET 1988; DCE 2000]
Options:
A) Ellipse
B) Parabola
C) Hyperbola
D) Circle
Show Answer
Answer:
Correct Answer: A
Solution:
$ \frac{x^{2}}{9}+\frac{y^{2}}{16}=(1+\sin 2t)+(1-\sin 2t)=2 $ which is an ellipse