Consider four circles `(x+-1)^2+(y+-1)^2=1` . Find the equation of the smaller circle touching these four circles.

Find the equation of the family of circles touching the lines x^(2)-y^(2)+2y-1=0

The equation of a circle is x^(2)+y^(2)=4. Find the center of the smallest circle touching the circle and the line x+y=5sqrt(2)

The equation of four circles are (x+-a)^(2)+(y+-a^(2)=a^(2). The radius of a circle touching all the four circles is (sqrt(2)+2)a( b) 2sqrt(2)a(sqrt(2)+1)a(d)(2+sqrt(2))a

There are four circles each of radius 1 unit touching both the axis. The equation of the smaller circle touching all these circle is

Find the equation of a circle with center (4,3) touching the circle x^(2)+y^(2)=1

Find the equation of the circle having center at (2,3) and which touches x+y=1

Find the equation of the circle which touch the line 2x-y=1 at (1,1) and line 2x+y=4

In the figure below, the radius of the bigger circle is (sqrt(2) +1) cm and the radius of all the smaller circles are equal. Each of the smaller circles touches two of the other three smaller circles and the larger circle as shown. Find the area (in cm2) of the shaded portion.

(i) Find the equation of a circle , which is concentric with the circle x^(2) + y^(2) - 6x + 12y + 15 = 0 and of double its radius. (ii) Find the equation of a circle , which is concentric with the circle x^(2) + y^(2) - 2x - 4y + 1 = 0 and whose radius is 5. (iii) Find the equation of the cricle concentric with x^(2) + y^(2) - 4x - 6y - 3 = 0 and which touches the y-axis. (iv) find the equation of a circle passing through the centre of the circle x^(2) + y^(2) + 8x + 10y - 7 = 0 and concentric with the circle 2x^(2) + 2y^(2) - 8x - 12y - 9 = 0 . (v) Find the equation of the circle concentric with the circle x^(2) + y^(2) + 4x - 8y - 6 = 0 and having radius double of its radius.