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Circle question

2023 · 31 Jan · Shift 2 · Q37

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PYQ Library
JEE Main
Mathematics
Circle
2023 · 31 Jan · Shift 2 · Q37

Circle question

2023 · 31 Jan · Shift 2 · Q37

JEE MainMathematicsCircleMCQ+4 / −1

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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