JEE Math Practice Question
The set of all values of $a^{2}$ for which the line $x+y=0$ bisects two distinct chords drawn from a point $\mathrm{P}\left(\frac{1+a}{2}, \frac{1-a}{2}\right)$ on the circle $2 x^{2}+2 y^{2}-(1+a) x-(1-a) y=0$, is equal to :
- A.$(0,4]$
- B.$(4, \infty)$
- C.$(2,12]$
- D.$(8, \infty)$
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