Find the image of the circle `x^2+y^2-2x+4y-4=0` in the line `2x-3y+5=0`

Find the equation of image circle of the circle x^(2)+y^(2)-2x=0 in the line x+y-2=0

Find the equation of the image of the circle x^(2)+y^(2)-6x-4y+12=0 by the line mirror x+y-1=0

Find the equation of the circle through points of intersection of the circle x^2 + y^2 -2x - 4y + 4 =0 and the line x + 2y = 4 which touches the line x + 2y = 0 .

Equation of the circle which cuts the circle x^2+y^2+2x+ 4y -4=0 and the lines xy -2x -y+2=0 orthogonally, is

For the circle x^(2)+y^(2)-2x-4y-4=0 , then lines 2x+3y-1=0, 2x+y+5=0 are

Center of a circle S passing through the intersection points of circles x^2+y^2-6x=0 &x^2+y^2-4y=0 lies on the line 2x-3y+12=0 then circle S passes through

(i) Find the length of the chord intercepted by the circle x^(2)+y^(2)-8x-2y-8=0 on the line x+y+1=0 (ii) Find the length of the chord intercepted by the circle x^(2)+y^(2)+8x-4y-16=0 on the line 3x-y+4=0 (iii) Find the length of the chord formed by x^(2)+y^(2)=a^(2) on the line xcos alpha +y sin alpha=p

Point on the circle x^(2)+y^(2)-2x+4y-4=0 which is nearest to the line y=2x+11 is :

If kx+3y=1, 2x+y+5=0 are conjugate liens w.r.t the circle x^(2)+y^(2)-2x-4y-4=0 then k=

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