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