If `P(x ,y)` is any point on the ellipse `16 x^2+25 y^2=400` and `f_1=(3,0)F_2=(-3,0)` , then find the value of `P F_1+P F_2dot`

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)

P(x,y) is any point on ellipse 16x^(2)+25y^(2) =400 . If F_(1)-=(3,0) and F_(2) -=(-3,0) , then prove that PF_(1)+PF_(2) is constant and find its value .

If P (x,y) be any point on 16x^(2) + 25y^(2) = 400 with foci F_(1) (3,0) and F_(2) (-3,0) then PF_(1) + PF_(2) is

If P is any point on the ellipse 16 x^(2)+25 y^(2)=400 then P S_(1)+P S_(2)= , where S_(1) and S_(2) are the foci of the ellipse.

Let F_1 (0, 3) and F_2 (0, -3) be two points and P be any point on the ellipse 25x^2 + 16y^2= 400 , then value of (PF_1+ PF_2) 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 )

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 )

Co-ordinates of a point P((pi)/(3)) on the ellipse 16x^(2) + 25y^(2) = 400 are