Question

The sides of a triangle are the straight lines `x+y=1,7y=x ,` and `sqrt(3)y+x=0` . Then which of the following is an interior point of the triangle? Circumcenter (b) Centroid Incenter (d) Orthocenter
A. Circumcenter
B. Centroid
C. Incenter
D. Orthocenter

Answer 1

Correct Answer - B::C

Clearly, from the figure, the triangle is obtuse-angled. Hence, the centroid and incenter lie inside the triangle. The orthcenter and circumcenter lie outside the triangle.
Therefore, it is an obtuse-angled triangle.