Home
Class 12
MATHS
Let P be a variable point on the ellipse...

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

A

2 abe

B

abe

C

3 abe

D

`a^(2)b^(2)e^(2)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Similar Questions

Explore conceptually related problems

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

Let P be a variable point on the ellipse (x^(2))/(25)+(y^(2))/(16)=1 with foci at S and S'. Then find the maximum area of the triangle SPS'

Let P be a variable point on the ellipse x^(2)/25 + y^(2)/16 = 1 with foci at S and S'. If A be the area of triangle PSS' then the maximum value of A, is

Let P be a variable point on the ellipse x^(2)/25 + y^(2)/16 = 1 with foci at S and S'. If A be the area of triangle PSS' then the maximum value of A, is

P is a variable point on the ellipse with foci S_1 and S_2 . If A is the area of the the triangle PS_1S_2 , the maximum value of A is

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 with foci S_(1) and S_(2) . If A be the area of trianglePS_(1)S_(2) then find the maximum value of A

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

P is any point on the ellipise (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 and S and S' are its foci, then maximum value of the angle SPS' is

P is any variable point on the ellipse 4x^(2) + 9y^(2) = 36 and F_(1), F_(2) are its foci. Maxium area of trianglePF_(1)F_(2) ( e is eccentricity of ellipse )