The circle `x^2+y^2 - 4x-8y + 16 = 0` rolls up the tangent to it at `(2+sqrt3, 3)` by `2` units,assuming the x-axis as horizontal, find the equation of the circle in the new position.

The circle x^(2)+y^(2)-4x-8y+16=0 rolls up the tangent to it at (2+sqrt(3),3) by 2 units,assuming the x-axis as horizontal,find the equation of the circle in the new position.

If the circle x^(2) + y^(2) -4x - 8y + 16 =0 rolls up the tangent to it at (2 + sqrt(3), 3) by 2 units (assumes x-axis as horizontal), then the centre of the circle in the new position is

Find the point of intersection of the circle x^(2)+y^(2)-3x-4y+2=0 with the x -axis.

A circle touches y-axis at (0, 2) and has an intercept of 4 units on the positive side of x-axis. The equation of the circle, is

The circle x^(2)+y^(2)-8x-10y+37=0 after being reflected about the line y=x, is shifted 2sqrt(2) units towards the origin,parallel to this line.Then the equation of the radical axis of the given circle and the new circle is

(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.

Find the parametric equation of the circle x^(2)+y^(2)+x+sqrt(3)y=0

Find the equation of the tangent to the circle x^2 + y^2 = 9 , which passes through the point on the circle where x = 2 and y is positive.

Find the parametric equation of the circles : 3x^2 + 3y^2 + 4x-6y - 4 = 0

The circle (x-a)^(2)+(y-a)^(2)=a^(2) is rolled on the y-axis in the positive direction through one complete revolutive direction equation of the circle in its new-position.