circle

Question: The equation of the circle which passes through the origin, has its centre on the line $x+y=4$ and cuts the circle ${{x}^{2}}+{{y}^{2}}-4x+2y+4=0$ orthogonally, is



1) ${{x}^{2}}+{{y}^{2}}-2x-6y=0$
2) ${{x}^{2}}+{{y}^{2}}-6x-3y=0$
3) ${{x}^{2}}+{{y}^{2}}-4x-4y=0$
4) None of these
Solution: Explanation: No Explanation
System of circles

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