`P` is a variable on the ellipse `(x^2)/(a^2)+(y^2)/(b^2)=1` with `AA '` as the major axis. Find the maximum area of triangle `A P A '`

Let P be a variable point on the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 with foci F_1" and "F_2 . If A is the area of the trianglePF_1F_2 , then the maximum value of A is

Let P be a variable point on the elipse (x^(2))/(a ^(2)) +(y ^(2))/(b ^(2)) =1 with foci F_(1) and F_(2). If A is the area of the triangle PF _(1) F_(2), then maximum value of A is

P is a variable point on the ellipse " 9x^(2)+16y^(2)=144 " with foci S and S^(') .Then maximum area of the triangle " SS'P " is

Let P be a variable on the ellipse (x^(2))/(25)+ (y^(2))/(16) =1 with foci at F_(1) and F_(2)

P is a variable point on the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=2backslash(a>b) whose foci are F_(1) and F_(2.) The maximum area (in unit' ) of the Delta PFF' is

If the normal at P(theta) on the ellipse x^(2)/a^(2)+y^(2)/b^(2)=1 with focus S ,meets the major axis in G. then SG=

If the area of the ellipse ((x^(2))/(a^(2)))+((y^(2))/(b^(2)))=1 is 4 pi, then find the maximum area of rectangle inscribed in the ellipse.

For the ellipse ((x+y-1)^(2))/(9)+((x-y+2)^(2))/(4)=1 the end of major axis are

Let P be a variable point on the ellipse x^2/a^2+y^2/b^2=1 with foci S(ae,0) and S'(-ae,0) If A is the area of the triangle PSS' then the maximum value of A is