`C_1` is a circle of radius 1 touching the x- and the y-axis. `C_2` is another circle of radius greater than 1 and touching the axes as well as the circle `C_1` . Then the radius of `C_2` is (a)`3-2sqrt(2)` (b) `3+2sqrt(2)` `3+2sqrt(3)` (d) none of these

A circle C_1 , of radius 2 touches both x -axis and y - axis. Another circle C_1 whose radius is greater than 2 touches circle and both the axes. Then the radius of circle is (a) 6-4sqrt(2) (b) 6+4sqrt(2) (c) 3+2sqrt(3) (d) 6+sqrt(3)

Equation of the circle of radius sqrt(2) , and touching the line |x-1| =|y-1| , is :

The radius of the circle touching the parabola y^2=x at (1, 1) and having the directrix of y^2=x as its normal is (a)(5sqrt(5))/8 (b) (10sqrt(5))/3 (c)(5sqrt(5))/4 (d) none of these

A circle centre (1,2) touches y-axis. Radius of the circle is

The radius of the circle touching the parabola y^2=x at (1, 1) and having the directrix of y^2=x as its normal is (5sqrt(5))/8 (b) (10sqrt(5))/3 (5sqrt(5))/4 (d) none of these

A circle S of radius ' a ' is the director circle of another circle S_1,S_1 is the director circle of circle S_2 and so on. If the sum of the radii of all these circle is 2, then the value of ' a ' is (a) 2+sqrt(2) (b) 2-1/(sqrt(2)) (c) 2-sqrt(2) (d) 2+1/(sqrt(2))

The line 2x-y+1=0 is tangent to the circle at the point (2, 5) and the center of the circle lies on x-2y=4. The radius of the circle is (a) 3sqrt(5) (b) 5sqrt(3) (c) 2sqrt(5) (d) 5sqrt(2)

Number of circle touching both the axes and the line x+y=4 is greater than or equal to : (a) 1 (b) 2 (c) 3 (d) 4

If a circle of radius 3 units is touching the lines sqrt3y^2-4xy+ sqrt3x^2=0 in the first quadrant then the length of chord of contact to this circle, is:

The lines 12 x-5y-17=0&24 x-10 y+44=0 are tangents to the same circle. Then the radius of the circle is: 1 (b) 3/2 (c) 2 (d) none of these