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

The locus of the equation (x2)2+y2+(x+2)2+y2=4
represent

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

The correct option is D A line segment

We have,

(x2)2+y2+(x+2)2+y2=4

Now, we can write this,

(x2)2+y2=4(x+2)2+y2

On squaring both side and we get,

(x2)2+y2=16+(x+2)2+y22×4×(x+2)2+y2

x2+44x+y2=16+x2+4+4x8(x+2)2+y2

4x=16+4x8(x+2)2+y2

x=4+x2(x+2)2+y2

2x4=2(x+2)2+y2

x+2=(x+2)2+y2

On squaring both side and we get,

(x+2)2=(x+2)2+y2

y2=0

y=0

Hence, this equation is line.


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