Hyperbola Questions

For the hyperbola 4x2 − 9y2 = 1 which of the following are true

If 2x - y + 1 = 0 is a tangent to the hyperbola x2a2-y216=1, then which of the following CANNOT be sides of a right angled triangle ?...

If e is the eccentricity of the hyperbola = 1 and θ is angle between the asymptotes, then cosθ/2 =...

The vertices of a hyperbola are at (0, 0) and (10, 0) and one of its foci is at (18, 0). The equation of the hyperbola is -

If the latus rectum of an hyperbola be 8 and eccentricity be , then the equation of the hyperbola is-...

The foci of the hyperbola 9x2 − 16y2 + 18x + 32y − 151 = 0 are-

The foci of the hyperbola 4x2 − 9y2 − 36 = 0 are-

Foci of the hyperbola = 1 are

The eccentricity of a hyperbola passing through the points (3, 0), (3√2, 2) will be-

Equation of the hyperbola with eccentricity 3/2 and foci at (± 2, 0) is-

If the centre, vertex and focus of a hyperbola be (0, 0), (4, 0) and (6, 0) respectively, then the equation of the hyperbola is-

The eccentricity of the hyperbola can never be equal to-

The eccentricity of the hyperbola whose latus rectum is 8 and conjugate axis is equal to half the distance between the foci is-

If the length of the transverse and conjugate axes of a hyperbola be 8 and 6 respectively, then the difference of focal distances of any point of the hyperbola will be-

If m is a variable, the locus of the point of intersection of the lines = m and = is a/ an-...

The equation of the hyperbola whose foci are (6, 5) , (− 4, 5) and eccentricity 5/4 is-

The equation = 1 represents

The equation ax2 + 2hxy + by2 + 2gx + 2fy + c = 0 represents a rectangular hyperbola if-

The equation = 1, k > 1 represents-

If e and e′ be the eccentricities of two conics S and S′ such that e2 + e′2 = 3, then both S and S′ are-