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  

The equation of the hyperbola with vertices (3, 0) and (–3, 0) and semi-latusrectum 4, is given by

The equation of the tangent to the curve 4x² – 9y² = 1 which is parallel to 4y = 5x + 7, is

The equation of the tangent parallel to y = x drawn to  is

If m is a variable, the locus of the point of intersection of the lines  is a/an 

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

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