Maximum area of an isosceles triangle inscribed in the ellipse `(y^2)/(a^(2))+(x^2)/(b^(2))=1` whose one vertex is at end of major axis

Find the maximum are of the isosceles triangle inscribed in the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1, with its vertex at one end of major axis.

Find the maximum area of an isosceles triangle inscribed in the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 with its vertex at one end of the major axis.

Find the maximum area of an isosceles triangle incribed in the ellipse (x^(2))/(25)+(y^(2))/(16)=1, with its vertex atone end of the major axis.

Area of the greatest rectangle that can be inscribed in the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 is

Find the area of the greatest isosceles triangle that can be inscribed in the ellipse ((x^(2))/(a^(2)))+((y^(2))/(b^(2)))=1 having its vertex coincident with one extremity of the major axis.

Find the maximum area of the parallelogram inscribed in the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 one of whoe diagonals is the line y=mx.

If a rectangle of maximum area is inscibed in the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 , then the dimensions are

An isosceles triangle that can be inscribed in an ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 having its vertex coincident with one extremity of major axis has the maximum area equal to (msqrt(n))/4ab ( m,n are prime numbers) then (m^(2)-n)/3=

A isosceles triangle with each base angle equal to 30^(@) is inscribed in the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 If the base of the triangle coincides with the major axis of the ellipse,then find its eccentricity