If `P` is any point on ellipse with foci `S_1 & S_2` and eccentricity is `1/2` such that `/_PS_1S_2=alpha,/_PS_2S_1=beta,/_S_1PS_2=gamma` , then `cot(alpha/2), cot(gamma/2), cot(beta/2)` are in

If P is any point on ellipse with foci S_(1)&S_(2) and eccentricity is (1)/(2) such that /_PS_(1)S_(2)=alpha,/_PS_(2)S_(1)=beta,/_S_(1)PS_(2)=gamma then cot((alpha)/(2)),cot((gamma)/(2)),cot((beta)/(2)) are in

If P is any point lying on the ellipse x^2/a^2+y^2/b^2=1 , whose foci are S and S' . Let /_PSS'=alpha and /_PS'S=beta ,then

If P is any point lying on the ellipse x^2/a^2+y^2/b^2=1 , whose foci are S and S' . Let /_PSS'=alpha and /_PS'S=beta ,then

If P(alpha,beta) is a point on the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 with foci Sa n dS ' and eccentricity e , then prove that the area of S P S ' is basqrt(a^2-alpha^2)

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

If P(alpha,beta) is a point on the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 with foci S a n d S ' and eccentricity e , then prove that the area of Δ S P S ' is be sqrt(a^2-alpha^2)

If P(alpha,beta) is a point on the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 with foci S a n d S ' and eccentricity e , then prove that the area of Δ S P S ' is be sqrt(a^2-alpha^2)

If P is any point lying on the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1, whose foci are S and S'* Let /_PSS^(2)=alpha and /_PS'S=beta then

If P is a point on the ellipse (x^(2))/(16)+y'(20)=1, whose foci are S and S' Then PS+PS' is equal to