Question
Question: The curve represented byx = 3(cos t + sin t), y = 4 (cos t – sin t) is...
The curve represented byx = 3(cos t + sin t), y = 4
(cos t – sin t) is
A
Ellipse
B
Parabola
C
Hyperbola
D
Circle
Answer
Ellipse
Explanation
Solution
x/3 = cos t + sin t … (i)
y/4 = cos t – sin t …(ii)
squaring and adding
x2/9 + y2/16 = 2