Published by:
CGP EDU Academic Team
Published on: August 14, 2026
Let ABC be the triangle with AB = 1, AC = 3 and
. If a circle of radius r > 0 touches the sides AB, AC and also touches internally the Circumcircle of the triangle ABC, then the value of r is__________.
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
(0.83 or 0.84)
Let A be (0,0), B(1,0) and C(0,3)
AB lies on x-axis and AC lies on y-axis
equation of circle touching both x and y-axis is of the form

It touches 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
SOLUTIONS TO JEE (ADVANCED) - 2022
(Paper-1)
MATHEMATICS
SECTION 1 (Maximum Marks: 24)
• This secti…
Let be a positive real number. Let and be the functions defined by and Then the value of is__…
In a study about a pandemic, data of 900 persons was collected. It was found that 190 persons had s…
Let z be a complex number with non-zero imaginary part. If is a real number, then the value of |z|…
Let denote the complex conjugate of a complex number z and let . In the set of complex numbers, t…
Let be consecutive terms of an arithmetic with common difference d 1 , and let w 1 ,w 2 ,.....,w 1…