Given that a 1 a 2- a 2004 are distinct positive real numbers then a1-a2-a2-a3- -a2003-a2004-a2004-a1 isA- Less than 2004B- Less than 1C- Greater than 2004D- Equal to 1

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Standard XII

Mathematics

Combination

Given that a ...

Question

Given that a₁a₂,.,a₂₀₀₄ are distinct positive real numbers then

Less than 2004

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Less than 1

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Greater than 2004

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Equal to 1

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Solution

The correct option is C
Greater than 2004

Equality can hold only if each term on the left hand side is 1 i.e, only if a₁ = a₂ = ... = a₂₀₀₄. But, we are given that the numbers a₁ , a₂ ... are distinct positive real numbers. Hence

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