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Most Important Selected Qs for JEE AdvancedMathematicsTrigonometry

What is the minimum value of ^4 ^2 + ^4 ^2 for , B k 2 , k Z ?

Options

  1. A2
  2. B4
  3. C8
  4. D16

Correct answer

C. 8

Step-by-step solution

^2 a , ^2 ~B b (a+1)^2 b + (b+1)^2 a = [ a^2 b + 1 b + b^2 a + 1 a ]+2 ( a b + b a ) 4 [ a^2 b 1 b b^2 a 1 a ]^ 1 / 4 +2 2 [ a b b a ]^ 1 / 2 =8

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