The Foci Of A Hyperbola Coincide With The Foci Of The Ellipse . The Equation Of The Hyperbola If Its Eccentricity Is 2, Is

The eccentricity of the conjugate hyperbola of the hyperbola x² – 3y² = 1 is

The distance between the directrices of a rectangular hyperbola is 10 units, then distance between its foci is

The ,locus of the middle points of portions of the tangents to the hyperbola , intercepted between the axes is

If the polar of a point with respect to  toches the hyperbola , then the locus of the point is

The locus of pole of any tangent to the circle x² + y² = 4 w.r.t. the hyperbola x² – y² = 4 is the circle

The normal to the rectangular hyperbola xy = c² at the point ‘t’ meets the curve again at point “t” such that

PN is the ordinate of any point P on the hyperbola  and AA’ is its transverse axis. If Q divides AP in the ratio a² : b², then NQ is

If SK perpendicular from focus S on th tangent at any point P of the hyperbola  , then K lies on

The lines 2x + 3y + 4 = 0 and 3x – 2y + 5 = 0 may be conjugate w.r.t. the hyperbola  if

The condition for two diameters of a hyperbola  represented by Ax² + 2Hxy + By² = 0 to be conjugate is