MathsJEE Main 8 Apr 2026, Shift 2·Q20·MCQ·Easy–moderate

Conic Sections · Ellipse with major axis condition

Let

\dfrac{x^2}{f(a^2 + 7a + 3)} + \dfrac{y^2}{f(3a + 15)} = 1

represent an ellipse with major axis along

y

-axis, where

f

is a strictly decreasing positive function on

\mathbb{R}

. If the set of all possible values of

a

\mathbb{R} - [\alpha, \beta]

, then

\alpha^2 + \beta^2

is equal to:

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