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_____

Two tangents to the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 having m_1a n dm_2 cut the axes at four concyclic points. Fid the value of m_1m_2dot

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.

Find the value of m for which y=m x+6 is tangent to the hyperbola (x^2)/(100)-(y^2)/(49)=1

If y = 2x + c is a tangent to the circel x^(2) + y^(2) = 5 , then c is

The eccentricity of the hyperbola (y^(2))/(9)-(x^(2))/(25)=1 is …………………

The tangent to the hyperbola 3x^(2)-y^(2)=3 parallel to 2x-y+4=0 is:

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

Statement 1 : If from any point P(x_1, y_1) on the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=-1 , tangents are drawn to the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1, then the corresponding chord of contact lies on an other branch of the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=-1 Statement 2 : From any point outside the hyperbola, two tangents can be drawn to the hyperbola.

If m is the slope of a tangent to the hyperbola (x^(2))/(a^(2)-b^(2))-(y^(2))/(a^(3)-b^(3)) =1 where a gt b gt 1 when

If the tangents to the parabola y^2=4a x intersect the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 at Aa n dB , then find the locus of the point of intersection of the tangents at Aa n dBdot