For the hyperbola "`(x^(2))/(3)-y^(2)=3`" ,acute angle between its asymptotes is "`(1 pi)/(24)`" ,then value of "`T`" is smaller than

If e is the eccentricity of the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 and theta is the angle between the asymptotes, then cos.(theta)/(2) is equal to

If acute angle between the two asymptotes of hyperbola is pi/6 then eccentricity of hyperbola can be

The angle between the asymptotes of the hyperbola 3x^(2)-y^(2)=3 , is

If the acute angle between the lines 2x+3y-5=0 and 5x+ky-6=0 is (pi)/(4) ,then the value(s) of k is/are

The angle between the asymptotes of the hyperbola 2x^(2)-2y^(2)=9 , is

If e is the eccentricity of (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 and theta be the angle between its asymptotes,then cos((theta)/(2)) is equal to

The acute angle between lines x-3=0 and x+y=19 is . . .

If the angles between assymptotes of hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 is 2 theta then e=sec theta Also the acute angle between its assymptotes is theta=tan^(-1)(2a(b)/(a^(2)-b^(2)))

Find the locus of a point such that the angle between the tangents from it to the hyperbola x^(2)/a^(2) - y^(2)/b^(2) = 1 is equal to the angle between the asymptotes of the hyperbola .