Find the sum of the focal distances of any point on the ellipse `9x^2+16 y^2=144.`

Which of the following is/are true about the ellipse x^2+4y^2-2x-16 y+13=0? the latus rectum of the ellipse is 1. The distance between the foci of the ellipse is 4sqrt(3)dot The sum of the focal distances of a point P(x , y) on the ellipse is 4. Line y=3 meets the tangents drawn at the vertices of the ellipse at points P and Q . Then P Q subtends a right angle at any of its foci.

Prove that the sum of the focal distance of any point on the ellipse is constant and is equal to the length of the major axis.

The sum of distance of any point on the ellipse 3x^2 + 4y^2 = 24 from its foci is

What is the ratio of the greatest and least focal distances ofa point on the ellipse 4x^(2)+9y^(2)=36?

Sum of the focal distance of the ellipse (x^2)/(a^2) + (y^2)/(b^2) = 1 is

Find the equations of the tangents drawn from the point (2, 3) to the ellipse 9x^2+16 y^2=144.

In an ellipse, the sum of the distances between foci is always less than the sum of focal distances of any point on it. Statement 2 : The eccentricity of any ellipse is less than 1.

Find the maximum distance of any normal of the ellipse x^2/a^2 + y^2/b^2=1 from its centre,

Find the number of rational points on the ellipse (x^2)/9+(y^2)/4=1.

If the maximum distance of any point on the ellipse x^2+2y^2+2x y=1 from its center is r , then r is equal to