Suppose and are foci of the ellipse . If is the variable point on the ellipse and is the area of the then the maximum value of is
Explanation for the correct option:
Determining the maximum value of :
As seen in the equation, ,
So major axis is the x-axis
Foci
Foci
Base of the triangle Distance between two focus
Area of triangle
For maximum area, height should be maximum
For maximum height, the point should lie on the minor vertical point
So height is
therefore, Maximum area of
Hence, option is the correct answer.