If P is any point on the ellipse with eccentricity `2/3` and foci `F_(1),F_(2)` such that `PF_(1)+PF_(2)=6` ,then the equation of the ellipse

Equation of the ellipse with accentricity 1/2 and foci at (pm 1, 0) , is

F_(1) and F_(2) are the two foci of the ellipse (x^(2))/(9) + (y^(2))/(4) = 1. Let P be a point on the ellipse such that |PF_(1) | = 2|PF_(2)| , where F_(1) and F_(2) are the two foci of the ellipse . The area of triangle PF_(1)F_(2) is :

If P(x,y) is any point on the ellipse 16x^(2)+25y^(2)=400 and f_(1)=(3,0)F_(2)=(-3,0), then find the value of PF_(1)+PF_(2)

S_(1),S_(2), are foci of an ellipse of major axis of length 10 units and P is any point on the ellipse such that perimeter of triangle PS_(1)S_(2) is 15. Then eccentricity of the ellipse is:

If the focus,center and eccentricity of ellipse are (3,4),(2,3) and (1)/(2) respectively.Then equation of the ellipse is?

The equation of the ellipse with foci (pm 2, 0) and eccentricity =1/2 is

Foci of an ellipse are at S(1,7),S'(1,-3) .The point P is on the ellipse such that SP=7,S'P=5 .then the equation of the ellipse is

P is any variable point on the ellipse 4x^(2) + 9y^(2) = 36 and F_(1), F_(2) are its foci. Maxium area of trianglePF_(1)F_(2) ( e is eccentricity of ellipse )

The equation of the ellipse whose foci are (0,+-2) and eccentricity 2/3 is