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Consider the following statements : 1....

Consider the following statements :
1. Let D be a point on the side BC of a triangle ABC: If area of triangle ABD = area of triangle ACD, then for all points O on AD, area of triangle ABO = area of triangle ACO.
2. If G is the point of concurrence of the medians of a triangle ABC, then area of triangle ABG = area of triangle BCO = area of triangle ACG.
Which of the above statements is/are correct?

A

1 only

B

2 only

C

Both 1 and 2

D

Niether 1 nor 2

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