If the distance between two parallel tangents drawn to the hyperbola `(x^(2))/(9)-(y^(2))/(49)=1` is 2, then their slope is equal to

If the distance between two parallel tangents having slope m drawn to the hyperbola (x^2)/9-(y^2)/(49)=1 is 2, then the value of 2|m| is_____

On which curve does the perpendicular tangents drawn to the hyperbola (x^2)/(25)-(y^2)/(16)=1 intersect?

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

Find the equation of pair of tangents drawn from point (4, 3) to the hyperbola (x^(2))/(16)-(y^(2))/(9)=1 . Also, find the angle between the tangents.

The locus of the point of intersection of perpendicular tangents to the hyperbola (x^(2))/(25)-(y^(2))/(9) is:

Find the angle between the asymptotes of the hyperbola (x^2)/(16)-(y^2)/9=1 .

Two perpendicular tangents drawn to the ellipse (x^2)/(25)+(y^2)/(16)=1 intersect on the curve.

If the distance between the foci and the distance between the two directricies of the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 are in the ratio 3:2, then b : a is (a) 1:sqrt(2) (b) sqrt(3):sqrt(2) (c) 1:2 (d) 2:1

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

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