wiz-icon
MyQuestionIcon
MyQuestionIcon
2
You visited us 2 times! Enjoying our articles? Unlock Full Access!
Question

The curve described parametrically by y=2at and x=at2, where α is a non-zero constant, represents

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

The correct option is B a parabola
x=at2,y=2at
Eliminating the parameter t,
t=y2αx=a(y2a)2y2=4axy24ax=0

Comparing with ax2+2hxy+by2+2gx+2fy+c=0
a=0,b=1,c=f=h=0,g=2a
=∣ ∣002a0102a00∣ ∣=4a20

Also, h2ab=0
Hence, given curve represents a parabola.

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