Let `C` denote the circle `x^2 + y^2 - 6y+5=0`. Determine the equaiton of a circle `(say D)` which is concentric with `C` and the angle between the tangents to which (i.e. D) from every point on the circumference of `C`, is a given constant.

Angle between tangents drawn to circle x^(2)+y^(2)=20 from the point (6,2) is

The angle between the pair of tangents from the point (1,(1)/(2)) to the circle x^(2)+y^(2)+4x+2y-4=0 is

The angle between the tangents drawn from a point on the director circle x^(2)+y^(2)=50 to the circle x^(2)+y^(2)=25 , is

if theta the angle between the tangents from (-1,0) to the circle x^(2)+y^(2)-5x+4y-2=0, then theta is equal to

Find the equation of the circle concentric with the circle x^(2)+y^(2)-4x-6y-3=0 and which touches the y axis

If two tangents are drawn from a point to the circle x^(2) + y^(2) =32 to the circle x^(2) + y^(2) = 16 , then the angle between the tangents 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 equation of the circle concentric with the circle x^(2)+y^(2)-8x+6y-5=0 and passing through the point (-2,-7),

Find the equation of the circle concentric with the circle x^2 +y^2 - 4x - 6y-9=0 and passing through the point (-4, -5)

If two tangents are drawn from a point on x^(2)+y^(2)=16 to the circle x^(2)+y^(2)=8 then the angle between the tangents is