Equation of the hyperbola passing through (2.1) and having the distance between the direcrices `4/sqrt3` is

Eccentricity of the hyperbola passing through (3,0) and (3 sqrt(2),2) is

The equation of the circle passing through (-7, 1) and having centre at (-4, -3) is

The equation of the line passing through (-1 , -2) and having a slope of 4/7 is

The equation of the hyperbola with centre at (0, 0) and co-ordinate axes as its axes, distance between the directrices being (4)/(sqrt(3)) and passing through the point (2, 1), is

The equation of the hyperbola with centre at (0, 0) and co-ordinate axes as its axes, distance between the directrices being (4)/(sqrt(3)) and passing through the point (2, 1), is

Find the of the hyperbola passing through the points (2, 1) and (4,3)

Find the equation of the hyperbola passing through the points (2, 1) and (4, 3).

The standard equation of the hyperbola having the distance between foci as 32 and eccentricity 2 sqrt2 is

Equation of a hyperbola such that the distance between the foci is 16 and eccentricity is sqrt(2) is