Question

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

Solution

Correct option is

Compare    

Eliminate y, we get x2 – 8x + 16 = 0

or  (– 4)2 = 0

SIMILAR QUESTIONS

Q1

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

Q2

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

Q3

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

Q4

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

Q5

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

Q6

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

Q7

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

Q8

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

Q9

Let be two points on the hyperbola . If (h, k) is thepoint of intersection of the normal’s at P and Qk is equal to

Q10

Let be two points on the hyperbola . If (h, k) is thepoint of intersection of the normal’s at P and Qk is equal to