sir pls solve ths qutn

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if the point (A,-A) lies inside the circle x+y-4x+2y-8=0, then find the range of A.

Dear rohan

i think equation of circle is x²+y²-4x+2y-8=0

 center of circle (2,-2)  and radius =4

so for point(a-a) lie on the circle radius must be greater then distance between (a,-a) and (2,-2)

4> √(a-2)² +(-a+2)²

4> |(a-2)|√2

2√2> |a-2|

 2-2√2  <a<2+2√2