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

Let a and be respectively the degree and order of the differentill equation of the family of circles touching the lines y^(2)-x^(2)=0 and lying in the first and second quadrant then

Differential equation of the family of circles touching the line y=2 at (0,2) is

The equation of the circle touching the lines x=0,y=0 and x=2c is -

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

Find the equation of the circle having radius 5 and touching the line 3x-4y+5=0 at the point (1,2).

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 circle which touches the lines x=0 ,y=0 and x=c

Find the locus of the centre of the circle touching the line x+2y=0 andx =2y