Home Maths Circle and System of Circles Mix The radius of the larger circle lying in the…
Maths Circle and System of Circles Mix Single Correct MCQ
Published on: August 14, 2026

The radius of the larger circle lying in the first quadrant and touching the line 4x + 3y –12 = 0 and the coordinate axes, is-

A
5
B
6
C
7
D
8

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Text Solution

Verified by Experts
The correct answer is:
B

Circle centre which touch both coordinate axis
is (r, r) , circle touch the line 4x + 3y + 2 = 0

then p = r

= r

7r –12 = ±5r

r= 6 r = 1

larger circle radius is = 6

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