Published by:
CGP EDU Academic Team
Published on: August 13, 2026
A circle has its centre in the first quadrant and passes through . If this circle makes intercepts of length 3 and 4 respectively on
and
, its equation is
A
B
C
D
Text Solution
Verified by ExpertsThe correct answer is:
D
Equation of circle with centre 
is
Putting value of 
in (i)
…………… ..(ii)
To obtain intercepts on line 
and 
,
Put 
in (i)
If roots are 
then length of intercept 
lies in
quadrant
similarly put 
in (ii)
again if roots are 
Length of 
intercept 
For 
and
equation of 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 circle touching the coordinate axes with its centre lying on is
Suppose a circle passes through and having its centre at . Then the value of is
For any real number , the point lies on on a/an
The area of the circle passing through the points , is
The ratio of the largest and shortest distances from the point to the circle is
The image of the point with respect to the radical axis of the circles and is