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

Consider a family of a circle which are passing through the point (-1,1) and are tangent to x-axis, If (h,k) are the co-ordinate of the centre of the circles, then the set of value of K is given by the interval.

Open in App
Solution

Circle touching x-axis and having (h,k) as centre-
(xh)2+(yk)2=k2
Given that the circle is passing through (1,1)-
((1)h)2+(1k)2=k2
(h2+1+2h)+(k2+12k)=k2
h2+2h2k+2=0
D0
(2)24×1×(22k)0
8k40
k12
Hence the correct answer is k12.

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Property 2
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon