## Question

### Solution

#### SIMILAR QUESTIONS

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 *x*^{2} – 2*y*^{2} = 4, then the point of contact is

Equation of tangent to the hyperbola 2*x*^{2} – 3*y*^{2} = 6 which is parallel to the line *y* = 3*x* + 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 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 *x*^{2} – *y*^{2} = 9, then the equation of the corresponding pair of triangle is.

Find the equations of tangents to the hyperbola *x*^{2} – 4*y* = 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

4*x*^{2} – 9*y*^{2} =36.

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