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B
2
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C
4
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Solution
The correct option is B 2 See the following graph of y=x+1x. Here, x = a y=x+1x=a+1a a1aa+1a1122122.53133.334144.255155.201222.51333.331444.25
Alternatively: y=a+1a ...(i) Diffrerentiating above eq. (i), we get dyda=1−1a2 ...(ii) Equating eq. (ii) with zero, we get 1−1a2=0⇒a2=1⇒a=±1 But since a > 0, hence only a = 1 is acceptable. Now substituting a = 1 in the original eq. (i) we get the required minimim value of the expression. Hence, minimum of y=1+11=2