If `e` is the eccentricity of the hyperbola `[(5x-10)^(2)+(5y+15)^(2)=(12x-5y+1)^2]`,`(25e)/(13)` is equal to

If e is the eccentricity of the hyperbola (5x - 10)^(2) + (5y + 15)^(2) = (12x - 5y + 1)^(2) then (25e)/13 is equal to _____

The eccentricity of the hyperbola x ^(2) - y^(2) =25 is

The eccentricity of the hyperbola (x^(2))/(25)-(y^(2))/(16)=1 is

The eccentricity of the hyperbola y^(2) - 25x^(2) = 25 is

The eccentricity of the hyperbola 25x^(2)-9y^(2)=225 is . . .

The eccentricity of the hyperbola 5x ^(2) -4y ^(2) + 20x + 8y =4 is

If the eccentricity of the hyperbola (x^(2))/(16)-(y^(2))/(b^(2))=-1 is (5)/(4) , then b^(2) is equal to

If e_(1) is the eccentricity of the ellipse (x^(2))/(16)+(y^(2))/(b^(2))=1 and e_(2) is the eccentricity of the hyperbola (x^(2))/(9)-(y^(2))/(b^(2))=1 and e_(1)e_(2)=1 then b^(2) is equal to