Question

The sides of a triangle are $x+y=1,7y=x$ and $\sqrt{3}y+x=0$. Then the following is an interior point of the triangle

• A. circumcentre
• B. centroid
• C. incentre
• D. orthocentre

Answer 1

Answer: (B), (C)

The correct options are
B centroid
C incentre

From the figure, its clear that the triangle formed is an obtuse triangle.
In an obtuse triangle, orthocentre and circumcentre are outside the triangle.
And incentre and centroid are inside the triangle.