In a triangle ABC, if taken in order, consider the following statements : 1. AB + BC + CA = 0 2. AB + BC - CA = 0 3. AB - BC + CA = 0 4. BA - BC + CA = 0 How many of the above statements are correct?

NDA 2018 Mathematics question

In a triangle ABC, if taken in order, consider the following statements : 1. 2. 3. 4. How many of the above statements are correct?

Answer: (A)

1: going round the triangle returns to the start, so the sum is ; correct. 2: , so the expression is . 3:

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Question ID VK-029001