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 :
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 :
Updated On: Feb 5, 2026
- $(8, \infty)$
- $(0,4]$
- $(4, \infty)$
- $(2,12]$
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The Correct Option is A
Solution and Explanation
The correct option is (A) : \((8, \infty)\)
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