Equation Of Tangent To The Hyperbola 2x2 – 3y2 = 6 Which Is Parallel To The Line y = 3x + 4 Is

The eccentricity of the hyperbola 2x² – y² = 4 is

If the foci of the ellipse  and the hyperbola  conincide, then the value of b² is

Which one of the following is independent of  in the hyperbola .

Consider a branch of the hyperbola  with vertex at the point A. Let B be one of the end points of its latus rectum. If C is the focus of the hyperbola nearest to the point A, then the area of the triangle ABC is

 touches the hyperbola x² – 2y² = 4, then the point of contact is

Let , be two points on the hyperbola . If (h, k) is thepoint of intersection of the normal’s at P and Q, k is equal to

Let , be two points on the hyperbola . If (h, k) is thepoint of intersection of the normal’s at P and Q, k is equal to

Let two perpendicular chords of the ellipse  each passing through exactly one of the foci meet at a point P. If from P two tangents are drawn to the hyperbola , then 

If x = 9 is the chord of contact of the hyperbola x² – y² = 9, then the equation of the corresponding pair of triangle is.

Find the equations of tangents to the hyperbola x² – 4y = 36 which are perpendicular to the line x – y + 4 = 0