Assertion   A : If A ,   B ,   C ,   D are four points on a semi-circular arc with a…

Assertion A: If A, B, C, D are four points on a semi-circular arc with a centre at O such that |AB→|=|BC→|=|CD→|. Then, AB→+AC→+AD→=4AO→+OB→+OC→

Reason R: Polygon law of vector addition yields AB→+BC→+CD→+AD→=2AO→

In the light of the above statements, choose the most appropriate answer from the options given below.

  1. A is correct but R is not correct.
  2. A is not correct but R is correct.
  3. Both A and R are correct and R is the correct explanation of A.
  4. Both A and R are correct but R is not the correct explanation of A.

Solution

Polygon law is applicable in both but the equation given in the reason is not useful in explaining the assertion.

Asked in: JEE Main 2021 (27 Jul Shift 1)

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