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# Solve the Following Question and Mark the Best Possible Option. If 0 < B < A, Then Find the Minimum Value of A + 1/((A - B)B) - Mathematics

MCQ

Solve the following question and mark the best possible option.
If 0 < b < a, then find the minimum value of a + 1/((a - b)b).

#### Options

• 3

• 4

• 2

• 1

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#### Solution

We have a + 1/((a - b)b)

= b + (a - b) + 1/((a - b)b) ≥ 3 root(3)(b(a - b) xx 1/((a - b)b)

= a + 1/((a - b)b) ≥ 3.
Hence the minimum value is 3.

Concept: Simplification
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