Conic Sections · Ellipse focal distances

Let

S

and

S'

be the foci of the ellipse

\dfrac{x^2}{25} + \dfrac{y^2}{9} = 1

and

P(\alpha, \beta)

be a point on the ellipse in the first quadrant. If

(SP)^2 + (S'P)^2 - SP\cdot S'P = 37

, then

\alpha^2 + \beta^2

is equal to:

Video solution coming soon

We're animating every PYQ step by step. Subscribe to get them first.