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))= 1having slope 2, then find the range of eccentricity

If the latus rectum subtends a right angle at the center of the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1, then find its eccentricity.

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

Find the equation of tangents to hyperbola x^(2)-y^(2)-4x-2y=0 having slope 2.

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

Find the equation of normal to the hyperbola 3x^(2)-y^(2)=1 having slope (1)/(3)

Find the equations of the tangent and normal to the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 at the point

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

If the chords of contact of tangents from two points (-4,2) and (2,1) to the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 are at right angle, then find then find the eccentricity of the hyperbola.