[" 161.One focus of hyperbola is at "(0,4)" and the length "],[" of its transverse axis is "6." The equation of the "],[" hyperbola is "]

Focus of hyperbola is (+-3,0) and equation of tangent is 2x+y-4=0 , find the equation of hyperbola is

Focus of hyperbola is (+-3,0) and equation of tangent is 2x+y-4=0 , find the equation of hyperbola is

Statement- 1 : If the foci of a hyperbola are at (4,1) and (-6,1) and eccentricity is (5)/(4) , then the length of its transverse axis is 4 . Statement- 2 : Distance between the foci of a hyperbola is equal to the product of its eccentricity and length of the transverse axis.

Statement- 1 : If the foci of a hyperbola are at (4,1) and (-6,1) and eccentricity is (5)/(4) , then the length of its transverse axis is 4 . Statement- 2 : Distance between the foci of a hyperbola is equal to the product of its eccentricity and length of the transverse axis.

Find the equation of the hyperbola with centre at the origin , length of the transverse axis 6 and one focus at (0,4) .

Find the equation of the hyperbola with centre at the origin, the length of transverse axis 6 and one focus at (0, 4)