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

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

Find the maximum distance of any point on the curve x^2+2y^2+2x y=1 from the origin.

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

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

The maximum distance of the point (4,4) from the circle x^2+y^2-2 x-15=0 is

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

Find the eccentric angle of a point on the ellipse (x^2)/6+(y^2)/2=1 whose distance from the center of the ellipse is sqrt(5)

Which of the following is/are true? There are infinite positive integral values of a for which (13 x-1)^2+(13 y-2)^2=((5x+12 y-1)^2)/a represents an ellipse. The minimum distance of a point (1, 2) from the ellipse 4x^2+9y^2+8x-36 y+4=0 is 1 If from a point P(0,alpha) two normals other than the axes are drawn to the ellipse (x^2)/(25)+(y^2)/(16)=1 then |alpha|<9/4dot If the length of the latus rectum of an ellipse is one-third of its major axis, then its eccentricity is equal to 1sqrt(3)

The maximum distance of the centre of the ellipse (x^(2))/(16) +(y^(2))/(9) =1 from the chord of contact of mutually perpendicular tangents of the ellipse is

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.