Published by:
CGP EDU Academic Team
Published on: August 13, 2026
The co-ordinates of the centre of the smallest circle passing through the origin and having 
as a diameter are
A
B
C
D
Text Solution
Verified by ExpertsThe correct answer is:
B
: From the figure centre of circle lies on the line 
. Let centre be 
So radius 
Let 
Circle will be smallest when radius is smallest, that is obtained by 
also 
so radius is smallest when 
Coordinates of centre of smallest circle is 
──────────────────────────────────────────────────────────────────────────────────────────
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems
and are the parametric equations of
If the distance between the foci and the distance between the directrices of the hyperbola are in …
The ellipse and the hyperbola have in common
If the length of the tangent from any point on the circle to the circle is 16 units, then the are…
The circles and and ) cut orthogonally if
The equation of the common tangent of the two touching circles, and is