Question

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 $2 x^2+2 y^2-(1+a) x-(1-a) y=0$, is equal to :

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

Answer 1

Answer: (A)

$(8, \infty)$

Answer 2

The correct option is (A) : $(8, \infty)$