Published by:
CGP EDU Academic Team
Published on: August 14, 2026
The equation of the circle through the points of intersection of 
, 
and touching the line 
, is
A
B
C
D
Text Solution
Verified by ExpertsThe correct answer is:
C
Family of circles is
.
.....(i)
Centre is 
and radius 
.
Since it touches the line 
, hence
Radius = Perpendicular from centre to the line
i.e., 
cannot be possible in case of circle. So 
.
Thus, from (i) 
is the required equation of the circle.
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
The number of points with integral coordinates that are interior to the circle is
The range of values of a for which the point ( a , 4) is outside the circles and is
If two circles and intersect in two distinct points, then
The equation of the circle having the lines as its normals and having size just sufficient to cont…
The abscissas of two points A and B are the roots of the equations and their ordinates are the roo…
The point ([p + 1], [p]) lying inside the circle x 2 + y 2 – 2x – 15 = 0, then set of all values o…