Question

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

Solution

Correct option is

2

        

SIMILAR QUESTIONS

Q1

If (asecθ, btanθ) and (asecÏ•, btanÏ•) are the ends of a focal chord of  equal to

 

Q2

The equation of a line passing through the center of a rectangular hyperbola is x – y – 1 = 0, if one of its asymptotes is 3x – 4y – 6 = 0, the equation of the other asymptote is

 

Q3

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

Q4

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

Q5

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

Q6

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

Q7

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

Q8

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

Q9

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

Q10

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