Exams › JEE Main › Maths

The positive value of λ for which the co-efficient of x² 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 appropriate terms from the binomial expansion that will yield x² when multiplied by x². By analyzing the terms, we find that λ must equal 4 to achieve the required coefficient of 720.

Related JEE Main Maths questions

• Let Pn = cosⁿ θ + sinⁿ θ. If Pn - Pn-2 = k Pn-4, then the value of k is:
• For any natural number n, the expression x^(2n - 1) + y^(2n - 1) is divisible by which of the following?
• For a natural number n, which of the following always divides the expression x^(n+1) + (x + 1)^(2n−1)?
• For a positive integer n, the expression 5^(2n+2) − 24n − 25 is divisible by which of the following?
• For every natural number n, the expression 41ⁿ − 14ⁿ is divisible by which of the following?
• Let C0, C1, C2,..., C15 denote the binomial coefficients in the expansion of (1 + x)¹⁵. Then the value of C1/C0 + C2/C1 + C3/C2 +... + C15/C14 is:

⚔️ Practice JEE Main Maths free + battle 1v1 →