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The positive value of λ for which the x² coefficient in the expression x² (√x + λ/x²)¹⁰ is 720, is -

1. 4
2. 2√2
3. 3
4. √5

Correct answer: 4

Solution

To find the coefficient of x² in the expansion of x²(√x + λ/x²)¹⁰, we need to determine the term that contributes to x² when expanded. The correct value of λ is 4, as it allows the coefficient to equal 720 when calculated using the binomial expansion.

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