JEE Advanced Mathematics question
The sides of a triangle are , and . Then the following is an interior point of the triangle.
Answer: (B),(C)
Solution
The centroid and the incentre always lie inside a triangle. The circumcentre and the orthocentre lie inside only if the triangle is acute; for an obtuse triangle both lie outside. So we test whether the triangle is obtuse.
Vertices: - and meet at . - and : $8y=1⇒
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