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

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)

If P(theta) and Q((pi)/(2)+theta) are two points on the ellipse (x^(2))/(9)+(y^(2))/(4)=1 then find the locus of midpoint of PQ

Find the area of the region bounded by the ellipse x^(2)/4+y^(2)/9=1 .

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

Find the area of the region bounded by the ellipse x^(2)/16+y^(2)/9=1 .

Find the area of the smaller region bounded by the ellipse (x^(2))/(9) + (y^(2))/(4) = 1 and the line (x)/(3) + (y)/(2) = 1

Find the area of the region bounded by the ellipse (x^(2))/(4) + (y^(2))/(9) = 1

Find the normal to the ellipse (x^2)/(18)+(y^2)/8=1 at point (3, 2).

Find the points on the ellipse (x^2)/4+(y^2)/9=1 on which the normals are parallel to the line 2x-y=1.

Find the area of the region bounded by the ellipse (x^(2))/(16) + (y^(2))/(9) = 1