Show that the lines `2x+3y + 11 =0` and
`2x-2y-1=0` are conjugate with respect
to the circle `x^(2) + y^(2) + 4x+ 6y +12 = 0`

The radius of the circle x^(2) + y^(2) + 4x - 6y + 12 = 0 is

Find the value of K if the lines x+y-5=0 and 2x+ky-8=0 are conjugate with respect to the circle x^(2)+y^(2)-2x-2y-1=0

Find the value of k if kx+ 3y - 1 = 0, 2x + y + 5 = 0 are conjugate lines with respect to the circle x^(2) + y^(2) - 2x - 4y - 4 =0 .

Show that the points (4,2) (3,-5) are conjugate points with respect to the circle x^(2) + y^(2) -3 x - 5y + 1 = 0

The inverse of the point (1, 2) with respect to the circle x^(2) + y^(2) - 4x - 6y + 9 = 0 is

The chord of contact of (1,2) with respect to the circle x^(2)+y^(2)-4x-6y+2=0 is

Show that the points (i) (4,-2) and (3,-6) are conjugate with respect to the circle x^(2)+y^(2)-24=0 (ii) (-6,1) and (2,3) are conjugate with respect to the circle x^(2)+y^(2)-2x+2y+1=0

If (1,1), (k,2) are conjugate points with respect to the circle x^(2)+y^(2)+8x+2y+3=0 , then k=?

The power of (1,1) with respect to the circle x^(2)+y^(2)-4x+3y+k=0 is 3, then k

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=