If the angle between the tangents drawn to `x^2+y^2+2gx+2fy+c=0` from (0, 0) is `pi/2,` then `g^2+f^2=3c` `g^2+f^2=2c` `g^2+f^2=5c` `g^2+f^2=4c`

The distance between the chords of contact of tangents to the circle x^2+y^2+2gx +2fy+c=0 from the origin & the point (g,f) is

Find the length of the tangent drawn from any point on the circle x^2+y^2+2gx+2fy+c_1=0 to the circle x^2+y^2+2gx+2fy+c_2=0

The squared length of the intercept made by the line x=h on the pair of tangents drawn from the origin to the circle x^2+y^2+2gx+2fy+c=0 is (4c h^2)/((g^2-c)^2)(g^2+f^2-c) (4c h^2)/((f^2-c)^2)(g^2+f^2-c) (4c h^2)/((f^2-f^2)^2)(g^2+f^2-c) (d) none of these

Show that the circle S-= x^(2) + y^(2) + 2gx + 2fy + c = 0 touches the (i) X- axis if g^(2) = c

If g^(2)+f^(2)=c , then the equation x^(2)+y^(2)+2gx+2fy+c=0 will represent

If the length of the tangent drawn from (f, g) to the circle x^2+y^2= 6 be twice the length of the tangent drawn from the same point to the circle x^2 + y^2 + 3 (x + y) = 0 then show that g^2 +f^2 + 4g + 4f+ 2 = 0 .

The circle x^(2) + y^(2) + 2g x + 2fy + c = 0 does not intersect the y-axis if

The condition that the pair of tangents drawn from origin to circle x^(2)+y^(2)+2gx+2fy+c=0 may be at right angles is

The line ax+by+by+c=0 is normal to the circle x^(2)+y^(2)+2gx+2fy+d=0, if

If the length of the tangent from a point (f,g) to the circle x^2+y^2=4 be four times the length of the tangent from it to the circle x^(2)+y^(2)=4x , show that 15f^(2)+15g^(2)-64f+4=0