Question

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

Solution

Correct option is

Abscissa of foci

                

  

  Foci , which is independent of .

SIMILAR QUESTIONS

Q1

The point of intersection of the curves whose parametric equation are x = t2 + 1, y = 2t and x = 2sy = 2/s, is given by

Q2

The area of triangle formed by the lines x – y = 0, x + y = 0 and any tangent to the hyperbola x – y= ais

Q3

A circle cuts the rectangular hyperbola xy = 1 in the points (xr, yr),r = 1, 2, 3, 4. Then the values of x1x2x3x4 and y12y3y4 respectively, are

Q4

A hyperbola, having the transverse axis of length , is confocal with the ellipse 3x2 + 4y2 = 12. Then its equation is

Q5

If and e’ be the eccentricities of two conics S and S’ such that e2 + e2 = 3, then both S and S’ are

Q6

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

Q7

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

Q8

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

Q9

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

Q10

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