A hyperbola has its centre at the origin, passes through the point (4, 2) and has transverse axis of length 4 along the x-axis. Then the eccentricity of the hyperbola is

A hyperbola whose transverse axis is along the major axis of the conic, x^2/3+y^2/4= 4 and has vertices atthe foci of this conic. If the eccentricity of the hyperbola is 3/2 , then which of the following points does NOT lie on it?

A hyperbola whose transverse axis is along the major of the conic, (x^2)/3+(y^2)/4=4 and has vertices at the foci of this conic. If the eccentricity of the hyperbola is 3/2 , then which of the following points does NOT lie on it?

A parabola has it vertex at the origin, axis along the X-axis and it passes through the point (4, -8). Find its equation.

Suppose an ellipse and a hyperbola have the same pair of foci on the x -axis with centres at the origin and they intersect at (2,2) . If the eccentricity of the ellipse is (1)/(2) , then the eccentricity of the hyperbola, is

Suppose an ellipse and a hyperbola have the same pair of foci on the x -axis with centres at the origin and they intersect at (2,2) . If the eccentricity of the ellipse is (1)/(2) , then the eccentricity of the hyperbola, is

A hyperbola has foci (4, 2), (2, 2) and it passess through P(2, 4) . The eccentricity of the hyperbola is

A hyperbola passes through (3,2) and (-17, 12) and has its centre at origin and transverse axis along X-axis . Then length of its transverse axis is

The hyperbola x^2/a^2-y^2/b^2=1 passes through the point (2,3) and has eccentricity 2, then the transverse axis of the hyperbola has the length:

If a directrix of a hyperbola centred at the origin and passing through the point (4,-2 sqrt(3)) " is " 5x=4sqrt(5) and its eccentricity is e, then

If a directrix of a hyperbola centred at the origin and passing through the point (4,-2 sqrt(3)) " is " 5x=4sqrt(5) and its eccentricity is e, then