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`

Foci of the ellipse 16x^(2)+25y^(2)=400 are

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 PSQ is a focal chord of the ellipse 16x^(2)+25y^(2)=400 , such that SP=8, then find the length of SQ.

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 )

If PSQ is a focal chord of the ellipse 16x^(2)+25y^(2)=400 such that SP=8, then find the length of SQ. is (a) (1)/(2) (b) (4)/(9)(c)(8)/(9) (d) (16)/(9)

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

If PSQ is a focal chord of the ellipse 16x^(2)+25y^(2)=400 such that SP=16, then the length SQ is

The line 3x+5y=k touches the ellipse 16x^(2)+25y^(2)=400 ,if k is