Let S and S' be the foci of the ellipse x²/25 + y²/9 = 1 and P(α,… | JEE Main 2026 Mathematics PYQ

MCQMediumJEE Main 2026 · 22 January, Shift 2Conic Sections (Parabola, Ellipse, Hyperbola)

Let $S$ and $S'$ be the foci of the ellipse $\frac{x^2}{25} + \frac{y^2}{9} = 1$ 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

A
$17$
B
$13$
C
$15$
D
$11$

Answer & step-by-step solution

Practice more Conic Sections (Parabola, Ellipse, Hyperbola) questions

Get unlimited AI-adaptive practice, mastery tracking, and an AI tutor that explains every step - free to start.

Start free trial More on Conic Sections (Parabola, Ellipse, Hyperbola)

Answer & step-by-step solution

Practice more Conic Sections (Parabola, Ellipse, Hyperbola) questions

Related questions