Consider the set the of hyperbola `xy = k, k in R`. Let `e_(1)` be the eccentricity when `k = 4` and `e_(2)` be the eccentricity when `k = 9` then `e_(1) - e_(2) =`

Consider the system of hyperbola xy = k, k in R . Let e_1 be the eccentricity when k = 4 and e_2 be the eccentricity when k = 9, then e_1-e_2

If e_(1) and e_(2) are the eccentricities of a hyperbola and its conjugate then

If e and e_(1) are the eccentricities of xy=c^(2),x^(2)-y^(2)=a^(2) then e^(4)+e_(1)^(4)=

If e_(1) be the eccentricity of a hyperbola and e_(2) be the eccentricity of its conjugate, then show that the point (1/e_(1) , 1/e_(2)) lies on the circle x^(2) + y^(2) = 1 .

If e_1 and e_2 be the eccentricities of two conjugate hyperbola, then 1/e_1^2+1/e_2^2 is :

If e_(1) is the eccentricity of the ellipse (x^(2))/(25)+(y^(2))/9=1 and if e_(2) is the eccentricity of the hyperbola 9x^(2)-16y^(2)=144 , then e_(1)e_(2) is. . . . .

If e1 and e2 are the eccentricities of a hyperbola and its conjugates then ,

If e_1 is eccentricity of the ellipse x^2/16+y^2/7=1 and e_2 is eccentricity of the hyperbola x^2/9-y^2/7=1 , then e_1+e_2 is equal to:

If e_(1) is the eccentricity of the hyperbola (x^(2))/(36)-(y^2)/(49) =1 and e_(2) is the eccentricity of the hyperbola (x^(2))/(36)-(y^2)/(49) =-1 then

If e_(1) and e_(2) are eccentricities of the hyperbolas xy=c^(2) and x^2-y^(2)=a^(2) then e_(1)^(2)+e_(2)^(2)=