Show that the circle `4x^2 + 4y^2-12x-12y + 9 = 0` touches both the coordinate axes.

Show that the circle x^(2)+y^(2)-2ax-2ay+a^(2)=0 touches both the coordinate axes.

Show that the circle x^(2)+y^(2)-2ax-2ay+a^(2)=0 touches both the coordinate axes.

Show that the circle x^(2)+y^(2)-2ax-2ay+a^(2)=0 touches both the coordinate axes.

If the circle x^(2) + y^(2) - kx - 12y + 4 = 0 touches the X-axis then : k =

If x = 7 touches the circle x^2 + y^2 - 4x - y - 12 =0 , then the co-ordinates of the point of contact are :

If the line x=7 touches the circle x^2+y^2-4x-6y-12=0 , then the co-ordinates of the point of contact are

Find the coordinates of the points at which the circles x^2+y^2-4x-2y=4 and x^2+y^2-12x-8y=12 touch each other. Find the coordinates of the point of contact and equation of the common tangent at the point of contact.

Lengths of intercepts made by circle x^(2) + y^(2) + x - 4y - 12 = 0 on co-ordinates axes are

(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.