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_____

If y=mx+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

If y=m x+c is a tangent to (x^(2))/(a^(2))+(y^(2))/(b^(2)) = 1 then b^(2) =

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

In the hyperbola 16 x^(2) - 9y^(2) =144 , the value of eccentricity is

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

two tangents of a hyperbola x^2/a^2 - y^2/b^2 = 1 having m1m2 cuts the axes at 4 concyclic points .find value of m1 m2

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

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

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