CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

The curve represented by x=3cost+3sint and y=4cost4sint is

A
An ellipse
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
A hyperbola
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
A parabola
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
None of these
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is A An ellipse
The equations of curve are

x=3(cost+sint)

x3=cost+sint....(i)

and y=4(costsint)

y4=(costsint)....(ii)

On squaring and adding (i) and (ii)

x29+y216=2(sin2t+cos2t)

x29+y216=2 Which is an ellipse
Hence choice (a) is correct answer.

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Ellipse and Terminologies
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon