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`

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

If the angle between the two lines given by ax^(2)+2hxy+by^(2)+2gx+2fy+c=0 is (pi)/4 , then the contsntant a,b,h,g,f,c are related by

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

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

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

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 (4ch^(2))/((g^(2)-c)^(2))(g^(2)+f^(2)-c)(4ch^(2))/((f^(2)-c)^(2))(g^(2)+f^(2)-c)(4ch^(2))/((f^(2)-f^(2))^(2))(g^(2)+f^(2)-c)(d) none of these

Show that the length of the tangent from anypoint on the circle : x^2 + y^2 + 2gx+2fy+c=0 to the circle x^2+y^2+2gx+2fy+c_1 = 0 is sqrt(c_1 -c) .