Let a and b respectively be the semi-tra...

Let a and b respectively be the semi-transverse and semi-conjugate axes of a hyperbola whose eccentricity satisfies the equation `9e^2 - 18e + 5 = 0`. If `S(5,0)` is a focus and `5x = 9` is the corresponding directrix of this hyperbola, then `a^2 - b^2` is equal to

Similar Questions

Explore conceptually related problems

Semi-conjugate axis of the hyperbola: 5y^(2) - 9x^(2) = 36 is

Find the equation of the hyperbola whose eccentricity is sqrt(5) and the sum of whose semi-axes is 9.

Find the equation of the hyperbola whose eccentricity is (5)/(4) , focus is (0,4) and the directrix is the line 4y - 9 = 0.

Find the equation of the hyperbola whose eccentricity is sqrt(3) , focus is at (2,3) and equation of directrix is x + 2y = 1.

Find the equation of the hyperbola whose eccentricity is sqrt(2) , focus is (3,1) and equation of directrix is 2x + y - 1 = 0.

if 5x+9=0 is the directrix of the hyperbola 16x^(2)-9y^(2)=144, then its corresponding focus is

If 5x + 9 = 0 is the directrix of the hyperbola 16x^(2)-9y^(2)=144 then its corresponding focus is

Find the equation of the hyperbola whose eccentricity is (5)/(4) , focus is (-5,0) and directrix is the line 5x + 16 = 0.

If 5x +9 =0 is the directtrix of the hyperbola 16x^(2) -9y^(2)=144, then its corresponding focus is

Find the equation of the hyperbola whose focus is (1,1), eccentricity is 2 and equation of directrix is x+y+1=0.