The equation of one of the circles which touch the pair of lines `x^2 - y^2 + 2y - 1 = 0` is

2x+y=0 is the equation of a diameter of the circle which touches the lines 4x-3y+10=0 and 4x-3y-30=0 The centre and radius of the circle are

The equation of the circle concentric with the circle x^(2) + y^(2) - 6x - 4y - 12 =0 and touching y axis

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

The equation of the circle through the points of intersection of x y -1 -0, x y -2x-4 y l 0 and touching the line x 2y 0, is (B) x y 2 x+20 (C) x y (D) 2 (x2 y x 2

The equation of the circle touching the lines x=0,y=0 and x=2c 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 which touch the line 2x-y=1 at (1,1) and line 2x+y=4

The equation of the circle which touches the circle x^(2)+y^(2)-6x+6y+17=0 externally and to which the lines x^(2)-3xy-3x+9y=0 are normals,is

What is the equation of circle which touches the lines x = 0 , y = 0 and x = 2 ?

Find the equations of the two circles which intersect the circles x^2+y^2-6y+1=0 and x^2+y^2-4y+1=0 orthogonally and touch the line 3x+4y+5=0