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If a, b are non-zero vectors such that |...

If a, b are non-zero vectors such that `|a+b|=|a-2b|`, then
Statement-I Least value of `a*b+(4)/(|b|^(2)+2)` is `2sqrt(2)-1`.
Statement-II The expression `a*b+(4)/(|b|^(2)+2)` is least when magnitude of b is `sqrt(2tan((pi)/(8)))`.

A

Both Statement-I and Statement-II are correct and Statement-II is the correct explanation of Statement-I

B

Both Statement-I and Statement-II are correct but Statement-II is not the correct explanation of Statement-I

C

Statement-I is correct but Statement-II is incorrect

D

Statement-II is correct but Statement-I is incorrect

Text Solution

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The correct Answer is:
A
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