If `y=m x+c` is tangent to the hyperbola `(x^2)/(a^2)-(y^2)/(b^2)=1,` having eccentricity 5, then the least positive integral value of `m` is_____

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

If the slope of a tangent to the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 is 2sqrt(2) then the eccentricity e of the hyperbola lies in the interval

Two tangents to the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 having m_(1) and m_(2) cut the axes at four concyclic points.Fid the value of m_(1)m_(2)

If x-sqrt(5)y+c=0 is a tangent to the hyperbola (x^(2))/(25)-(y^(2))/(4)=1 then the value of c is

The eccentricity of the hyperbola -(x^(2))/(a^(2))+(y^(2))/(b^(2))=1 is given by

If the latus rectum of the hyperbola (x^(2))/(16)-(y^(2))/(b^(2))=1 is (9)/(2) , then its eccentricity, is

If it is possible to draw the tangent to the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))= 1having slope 2, then find the range of eccentricity

Eccentricity of the hyperbola x^(2) - y^(2) = a^(2) is :