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Trigonometry — Hard JEE math MCQ

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. $x^{2}+y^{2}+x+y=0$

Solution

The correct option is **B**.

MATH

hard • PYQ Reworded
Question
Read carefully, then pick the best option.
Consider a triangle Δ\Delta whose two sides lie on the xx-axis and the line x+y+1=0x+y+1=0. If the orthocenter of Δ\Delta is (1,1)(1,1), then the equation of the circle passing through the vertices of the triangle Δ\Delta is
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