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

The coordinates of the centre of a circle, whose radius is 2 units and which touches the line pair x2y22x+1=0, are


A
(4,0)
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
(1+22,0)
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
(4,1)
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
(1,22)
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution

The correct option is D (1,22)
Line pair is (x1)2y2=0,
i.e., x+y1=0, xy1=0


If the centre is on the x-axis,
let the centre be (α,0).
Then its distance from x+y1=0 is
α12=2 (radius)
i.e., α=1±22
Centre may be (1+22,0),(122,0)

If the centre is on the line x=1,
let the centre be (1,β).
Then 1+β12=2
β=±22
Centre may be (1,22),(1,22)

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