The set of all values of a² for which the line x + y = 0 bisects… | JEE Main 2023 Mathematics PYQ

MCQMediumJEE Main 2023 · 31 January, Shift 2Conic Sections (Parabola, Ellipse, Hyperbola)

The set of all values of $a^2$ for which the line $x + y = 0$ bisects two distinct chords drawn from a point $P\left( \frac{1 + a}{2}, \frac{1 - a}{2} \right)$ on the circle $2x^2 + 2y^2 - (1 + a)x - (1 - a)y = 0$ is equal to:

A
$(8, \infty)$
B
$(4, \infty)$
C
$(0, 4]$
D
$(2, 12]$

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