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

Mathematics · Circles

JEE Advanced 2021 — Paper 1 — Question 19

Consider a triangle $\Delta$ whose two sides lie on the x -axis and the line $\mathrm{x}+\mathrm{y}+1=0$ .

If the orthocentre of $\Delta$ is $(1,1)$ , then the equation of the circle passing through the vertices of the triangle $\Delta$ is

Image of orthocentre about any side of the triangle lies on its circumcircle. We can observe that $x^{2}+y^{2}+x+3 y=0$

is satisfied by $(-1,0)$ and $(1,-1)$ both So, option (B) is the correct choice

Answer key and solution verified before publishing.

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