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Family of Circles

The radius of...

Question

The radius of the circle touching the coordinate axes and the line $3 x + 4 y = 12$ may be

A

6

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B

2

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C

3

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D

1

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Solution

The correct option is D 1

There are four circles touching the co-ordinates axes and the given line $3 x + 4 y = 12.$ The radii of these circles are 1, 2, 3 and 6.

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C

ircle touching both the axes and the line

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