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JEE Math Practice Question

Consider a triangle $\Delta$ whose two sides lie on the $x$-axis and the line $x+y+1=0$. If the orthocenter of $\Delta$ is $(1,1)$, then the equation of the circle passing through the vertices of the triangle $\Delta$ is

  1. A.$x^{2}+y^{2}-3 x+y=0$
  2. B.$x^{2}+y^{2}+x+3 y=0$
  3. C.$x^{2}+y^{2}+2 y-1=0$
  4. D.$x^{2}+y^{2}+x+y=0$

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