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

The sum of focal distances of any point on the ellipse 9x^(2) + 16y^(2) = 144 is

Which of the following is/are true about the ellipse x^2+4y^2-2x-16 y+13=0? (a) the latus rectum of the ellipse is 1. (b) The distance between the foci of the ellipse is 4sqrt(3)dot (c) The sum of the focal distances of a point P(x , y) on the ellipse is 4. (d) 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.

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

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

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

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

The focal distance of the point (9,6) on the parabola y^(2)=4x is

The focal distance of the point (9,6) on the parabola y^(2)=4x is

The focal distance of the point (4,2) on the parabola x^(2)=8y is

Using definite integration, find the area of the smaller region bounded by the ellipse 9x^2 + 16 y^2 = 144 and x =2.