Equation of major axis of the ellipse `((x-h)^(2))/(a^(2))+((y-k)^(2))/(b^(2))=1`(a

End points of the major axis of the ellipse ((x-h)^(2))/(a^(2))+((y-k)^(2))/(b^(2))=1(a

Centre of the ellipse ((x-h)^(2))/(a^(2))+((y-k)^(2))/(b^(2))=1(a

Equation of the directrices of the ellipse ((x-h)^(2))/(a^(2))+((y-k)^(2))/(b^(1))=1 (a>b)

If the length of the major axis of the ellipse ((x^(2))/(a^(2)))+((y^(2))/(b^(2)))=1 is three times the length of minor axis, its accentricity is

Statement 1: The equations of the tangents drawn at the ends of the major axis of the ellipse 9x^(2)+5y^(2)-30y=0 is y=0,y=6 . Statement 2: : The tangents drawn at the ends of the major axis of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 are always parallel to the y-axis.

If the circle whose diameter is the major axis of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1(a gt b gt 0) meets the minor axis at point P and the orthocentre of DeltaPF_(1)F_(2) lies on the ellipse, where F_(1) and F_(2) are foci of the ellipse, then the square of the eccentricity of the ellipse is

Equations of the directrices of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1(a>b) are

Equation auxiliary circle of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 (a