UPSC 2013 CDS 2 Math Paper

If G is the centroid of an equilateral triangle ABC, then GA = GB = GC. But, it is not given that triangle ABC is an equilateral triangle.
Hence, statement 1 is incorrect.
If H is the orthocentre of an equilateral triangle ABC, then HA = HB = HC. But, it not given that triangle ABC is an equilateral triangle.
Hence, statement 2 is incorrect.