A circle touching both the coordinate axes has radius 'r'. If the circle passes through(9,-2),then the radius of the circle can be:-(1) 13 units;(2) 7 units;(3) 11 units;(4) 17 units

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Find the equation of a circle.
(i) which touches both the axes at a distance of 6 units from the origin.
(ii) which touches x-axis at a distance 5 from the origin and radius 6 units.
(iii) which touches both the axes and passes through the point (2, 1).

(iv) passing through the origin, radius 17 and ordinate of the centre is -15.

Q. A circle of radius

2

unit lies in the first quadrant and touches both the axes of coordinates, equation of circle with center at

(6, 5)

and touching the above circle externally is

The equation of circle of radius 5 units touches the coordinates axes in the second quadrant is:

Q. A circle of radius

7

units touches the coordinate axes in the second quadrant. If the circle makes five complete rolls along the positive direction of

x -

axis, then the equation of circle in new position is

(Assume π = \frac{22}{7})

Q. If a circle with radius 2 units touches the x-axis at (1, 0) then its center may be:

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