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

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

The sum of focal distances of a point on the ellipse x^(2)/4+y^(2)/9=1 is:

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

The number of common tangents to the ellipse (x^(2))/(16) + (y^(2))/(9) =1 and the circle x^(2) + y^(2) = 4 is

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

The sum of the slopes of the tangents to the ellipse (x^(2))/(9)+(y^(2))/(4)=1 drawn from the point (6,-2) is

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