Home
Class 12
MATHS
A circle 6 of maximum area inscribed in ...

A circle `6` of maximum area inscribed in an ellipse `E_(1):(x^(2))/(25)+(y^(2))/(16)=1` , Another ellipse `E_(2)` of same eccentricity as that of `E_(1)` having largest area inscribed in `C` .The area of ellipse `E_(2)` is
(A) `(64)/(5)pi`
(B) `(36)/(5)pi`
(C) `(56)/(5)pi`
(D) `16 pi`

Promotional Banner

Similar Questions

Explore conceptually related problems

The area of the rectangle of maximum area inscribed in the ellipse (x^(2))/(25)+(y^(2))/(16)=1 is

The area of the rectangle of maximum area inscribed in the ellipse (x^(2))/(25)+(y^(2))/(16)=1 is

Area of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 is pi ab

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 ellipse x^(2)/64 + y^(2)/36 = 1 .

Let the equations of two ellipses be E_(1)=(x^(2))/(3)+(y^(2))/(2)=1 and (x^(2))/(16)+(y^(2))/(b^(2))=1. If the product of their eccentricities is (1)/(2), then the length of the minor axis of ellipse E_(2) is

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

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

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.

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