Asymptotes Of Hyperbola

Asymptotes of a Hyperbola (x^(2))/(25)-(y^(2))/(16)=1 are ..........

Angle between the asymptotes of a hyperbola is 30^(@) then e=

Angle between the asymptotes of a hyperbola is 30^(@) then e=

The angle between the asymptotes of a hyperbola is 30^(@). The eccentricity of the hyperbola may be

Angle between the asymptotes of a hyperbola is x^(2)-3y^(2)=1 is

The asymptotes of a hyperbola are the coordinate axes. If the hyperbola passes through (4,2) then its equation is

(a) Prove that any line parallel to either of the asymptotes of a hyperbola shall meet it in one point at infinity. (b) Prove that the asymptotes of a hyperbola are the diagonals of the rectangle formed by the lines drawn parallel to the axes at the vertices of the hyperbola [i.e., at (pma, 0) and (0, pmb) ].

(a) Prove that any line parallel to either of the asymptotes of a hyperbola shall meet it in one point at infinity. (b) Prove that the asymptotes of a hyperbola are the diagonals of the rectangle formed by the lines drawn parallel to the axes at the vertices of the hyperbola [i.e., at (pma, 0) and (0, pmb) ].