wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

The curve described parametrically by x=t2+t+1,y=t2t+1 represents

A
a pair of straight lines
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
an ellipse
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
a parabola
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
a hyperbola
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is C a parabola
x+y2=t2+1,xy2=t
Eliminating, t, 2(x+y)=(xy)2+4
Since 2nd degree terms form a perfect square, it represents a parabola.

flag
Suggest Corrections
thumbs-up
10
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Parametric Representation
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon