If e1 is The Eccentricity Of The Ellipse  and E2 is The Eccentricity Of The Hyperbola Passing Through The Foci Of The Ellipse And e1e2 = 1, Then The Equation Of The Parabola, Is 

If the chords of contact of tangents from two points (x₁, y₁) and (x₂, y₂) to the hyperbola  are at right angles, then  is equal to 

The locus of a point P(α, β) moving under the condition that the line y = αx + β is a tangent to the hyperbola 

The equation of the chord joining two points (x₁, y₁) and (x₂, y₂) on the rectangular hyperbola xy = c² is

If the line y = 2x + λ be a tangent to the hyperbola 36x² – 25y² = 3600, then λ is equal to     

From any point on the hyperbola  tangents are drawn to the hyperbola . The area cut-off by the chord of contact on the asymptotes is equal to

PQ and RS are two perpendicular chords of the rectangular hyperbola xy= c². If C is the centre of the rectangular hyperbola, then the product of the slopes of CP, CQ, CR and CS equal to  

Let  be two points on the hyperbola . If (h, k) is the point of intersection of the normal of P and Q, then k is equal to

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

If e and e’ be the eccentricities of two conics S = 0 and S’ = 0 and if e² +e’² = 3, then both S and S’ can be  

The eccentricity of the conjugate hyperbola of the hyperbola x² – 3y² = 1 is