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_____

Tangents are drawn to the hyperbola 3x^2-2y^2=25 from the point (0,5/2)dot Find their equations.

Tangents are drawn to the hyperbola 3x^2-2y^2=25 from the point (0,5/2)dot Find their equations.

The angle between the tangent drawn from (1,4) to the parabola y^(2) = 4x is _____

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

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

The angle between a pair of tangents drawn from a point P to the hyperbola y^2 = 4ax is 45^@ . Show that the locus of the point P is hyperbola.

If d is the distance between the parallel tangents with positive slope to y^2=4x and x^2+y^2-2x+4y-11=0 , then (a) 10ltdlt2 (b) 4ltdlt6 (c) dlt4 (d) none of these

Find the locus of the point from which the two tangents drawn to the parabola y^2=4a x are such that the slope of one is thrice that of the other.

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