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JEE Main 202127 JulyMorning Shift
Exam
JEE Main
Year
2021
Date
27 July
Shift
Morning Shift
Subject
Physics
Chapter
Mathematics in Physics

JEE Main 2021 · 27 July · Morning Shift · Physics · Mathematics in Physics

AssertionA: If A, B, C, D are four points on a semi-circular arc...

AssertionA:AssertionA: If A,B,C,DA, B, C, D are four points on a semi-circular arc with a centre at OO such that ∣AB→∣=∣BC→∣=∣CD→∣.| \overset{\to}{AB} | = | \overset{\to}{BC} | = | \overset{\to}{CD} | . Then, AB→+AC→+AD→=4AO→+OB→+OC→\overset{\to}{AB} + \overset{\to}{AC} + \overset{\to}{AD} = 4\overset{\to}{AO} + \overset{\to}{OB} + \overset{\to}{OC}

ReasonR:ReasonR: Polygon law of vector addition yields AB→+BC→+CD→+AD→=2AO→\overset{\to}{AB} + \overset{\to}{BC} + \overset{\to}{CD} + \overset{\to}{AD} = 2\overset{\to}{AO}

AssertionA: If A, B, C, D are four points on a semi-circular arc with a centre at O such that | → AB | = | → BC | = | →

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

Options

  1. AAA is correct but RR is not correct.
  2. BAA is not correct but RR is correct.
  3. CBoth AA and RR are correct and RR is the correct explanation of A.A .
  4. DBoth AA and RR are correct but RR is not the correct explanation of A.A .

Correct answer

D. Both AA and RR are correct but RR is not the correct explanation of A.A .

Step-by-step solution

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