A hyperbola does not have mutually perpendicular tangents, then its eccentricity can be

If the distance between foci of a hyperbola is twice the distance between its directrices, then the eccentricity of conjugate hyperbola is :

If the ellipse x^(2)+2y^(2)=4 and the hyperbola S = 0 have same end points of the latus rectum, then the eccentricity of the hyperbola can be

If the distances of one focus of hyperbola from its directrices are 5 and 3, then its eccentricity is

Show that the locus of the point of intersection of mutually perpendicular tangetns to a parabola is its directrix.

If eight distinct points can be found on the curve |x|+|y|=1 such that from eachpoint two mutually perpendicular tangents can be drawn to the circle x^(2)+y^(2)=a^(2), then find the tange of a.

When the eccentricity 'e ' of a hyperbola S=0 lies between 1 and sqrt2 then the number of perpendicular tangents that can be drawn to the hyperbola is

The points on the hyperbola x^(2)/a^(2) - y^(2)/b^(2) = 1 from where mutually perpendicular tangents can be drawn to circle x^(2) + y^(2) = a^(2)/2 is /are

Number of points on hyperbola (x ^(2))/(a ^(2)) - (y ^(2))/(b ^(2)) =1 from were mutually perpendicular tangents can be drawn to circel x ^(2) + y ^(2)=a ^(2) is