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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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Similar questions

Q. A circle that can be drawn to touch the coordinate axes and the line

4 x + 3 y = 12

C_{1}

of unit radius touches coordinate axes in first quadrant. Another circle

C_{2}

C_{1}

externally and also touches each line of pair

x y - 4 x - 4 y + 16 = 0

C_{2}

C

ircle touching both the axes and the line

3 x + 4 y = 12

Q. Find the equation of the circle drawn on the intercept made by the line 3x+4y=12 between the coordinate axes as diameter

Q. Find the equation of the circle passing through the origin and the points where the line 3x + 4y = 12 meets the axes of coordinates.

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