If X = 9 Is The Chord Of Contact Of The Hyperbola x2 – y2 = 9, Then The Equation Of The Corresponding Pair Of Triangle Is.

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

Equation of tangent to the hyperbola 2x² – 3y² = 6 which is parallel to the line y = 3x + 4 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 

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

Find the coordinates of foci, the eccentricity and latus rectum. Determine also the equation of its directrices for the hyperbola

4x² – 9y² =36.

Find the distance from A(4, 2) to the points in which the line 3x – 5y = 2 meets the hyperbola xy = 24. Are these points on the same side of A?

The asymptotes of the hyperbola  makes an angle 60⁰ with x-axis. Write down the equation of determiner conjugate to the diameter y = 2x.