Equation of ellipse in its standard equation

Equation of parabola in its standard equation

find the equation of ellipse in the standard form if passes through the points (-2,2) and (3,-1)

Equation of hyperbola in standard form

Standard Equation And Definitions|Standard Equation|Position Of A Point W.R.T. An Ellipse|Auxiliary Circle|Parametric Representation|OMR

The equation of the ellipse with its centre at (1,2), one focus at (6,2) and passing through the point (4,6) is-

The equation of the ellipse with its axes as the coordinate axes respectively and whose minor axis =6 and eccentricity= 1/2 is

The equation of the ellipse with its axes as the coordinate axes respectively and whose latus rectum = 8 and eccentricity = 1//sqrt(2) is

The equation of the ellipse with its axes as the coordinate axes respectively and whose major axis =6 and minor axis =4 is

Find the equation of the ellipse whose is (5,6), equation of directrix x+y+2=0 and eccentricity is (1)/(2) .