`3x + 4y = 12 sqrt2` is the tangent to the ellipse `x^2/a^2 + y^2/9 = 1` then the distance between focii of ellipse is-

If 3x+4y=12sqrt(2) is a tangent to the ellipse (x^(2))/(a^(2))+(y^(2))/(9)=1 for some a in R ,then the distance between the foci of the ellipse is

A tangent to the ellipse x^2+4y^2=4 meets the ellipse x^2+2y^2=6 at P&Q.

The focii of the ellipse x^2/3+y^2/2=1 are the points (+-1,0).

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.

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.

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.

The distance between the focii of the ellipse 3x^2+4y^2=1 is _____.

Show that the line 3x+ sqrt3y =12 is a tangent to the ellipse 9x^(2) +y^(2) = 36 . Find the coordinates of the point of contact.

The line 3x-4y=12 is a tangent to the ellipse with foci (-2,3) and (-1,0). Find the eccentricity of the ellipse.