Question

If P is a variable point on the ellips x^2/a^2+y^2/b^2=1 S1 and S2 are foci of the ellipse. If alpha and beta be the eccentricities of a focal chord of the ellipse then the eccentricity of the ellipse will be

(A)tan(pi/4-beta/2)

(B)tan(pi/4-alpha/2)

(C)1-tan(alpha/2)*tan(beta/2)/1+tan alpha/2 tan beta/2

(D)1+tan(alpha/2)*tan(beta/2)/1-tan alpha/2 tan beta/2


all answers must be given with proper proof preferably handwritten

Answer 1

Answer:

Step-by-step explanation:

MATHS

Let P be a variable point on the ellipse a2x2+b2y2=1 with foci S1 and S2. If A be the area of ΔPS1S2, then the maximum value of A, is

A

ab

B

abe

C

21ab

D

21abe