Director Circle of hyperbola

The director circle of a hyperbola is x^(2) + y^(2) - 4y =0 . One end of the major axis is (2,0) then a focus is

Q.14 lfe is eliminated from the equations a sec e-xtan e- y and b sec 0+ y tan ex (a and b are constant) then the eliminant denotes the equation of (A) the director circle ofthe hyperbola xr- (B) auxiliary circle of the ellipse +2 1 (C) Director circle of the ellipse (D) Director circle of the circle x t y?

The equation of the director circle of the hyperbola (x^2)/(16)-(y^2)/(4) = 1 is given by :

The radius of the director circle of the hyperbola (x^(2))/(a(a+4b))-(y^(2))/(b(2a-b))=12a>b>0 is

Find all values for xy=c^(2) (assymptotes; transverse axis; conjugate axis; vertex; focii length of latus rectum; Equation of auxilliary circle; equation of directrix circle and hyperbola and rectangular hyperbola intersects at right angle.

The director circle of the parabola (y-2)^(2)=16(x+7) touches the circle (x-1)^(2)+(y+1)^(2)=r^(2) then r is equal to

If the foci of (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 coincide with the foci of (x^(2))/(25)+(y^(2))/(9)=1 and the eccentricity of the hyperbola is 2, then a^(2)+b^(2)=16 there is no director circle to the hyperbola the center of the director circle is (0,0). the length of latus rectum of the hyperbola is 12

A circle x^(2)+y^(2)+4x-2sqrt(2)y+c=0 is the director circle of the circle S_(1) and S_(1) is the director circle of circle S_(2), and so on.If the sum of radii of all these circles is 2 ,then the value of c is k sqrt(2), where the value of k is