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

The locus of the curve whose perametric equations are x=a(1t21+t2) and y=2at1+t2, where t being a parameter is

A
a circle with a radius of a units
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
a circle passing through origin
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
pair of lines passsing through (a,a)
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
pair of lines passsing through (0,0)
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is A a circle with a radius of a units
Given, x=a(1t21+t2) and y=2at1+t2
x2+y2=a2((1t2)2+4t2(1+t2)2)
x2+y2=a2
Which represents a circle of radius a units.

flag
Suggest Corrections
thumbs-up
1
Join BYJU'S Learning Program
Join BYJU'S Learning Program
CrossIcon