Home Maths Conic Sections Telangana & AP CET Previous Year Question If a circle of radius touches the positive …
Maths Conic Sections Telangana & AP CET Previous Year Question Single Correct MCQ
Published on: August 13, 2026

If a circle of radius touches the positive coordinate axes and also the circle externally, then the distance between the centres of the two circles is

A
7
B
5
C
6
D
8

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Text Solution

Verified by Experts
The correct answer is:
B

Let equation of circle touches the positive coordinate axes having radius is

Since this circle touches the another circle (given)

externally then
Hence, where and

There are two possible circles having centres and respectively.
So, required distance between centres

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