The positive value of lambda for which t...

The positive value of `lambda` for which the coefficient of `x^(2)` in the expression `x^(2) (sqrt(2) + (lambda)/(x^(2)))^(10)` is 720 is

A

`sqrt(5)`

B

4

C

`2sqrt(5)`

D

`3

Verified by Experts

The correct Answer is:

B

Similar Questions

Explore conceptually related problems

Find a positive value of m for which the coefficient of x^2 in the expansion (1+x)^m is 6.

Find the coefficient of x^(15) in the expansion (x-x^(2))^(10)

Write the coefficients of x^(2) in each of the following : sqrt(2)x-1

Find the coefficient of : x^(10) " in " (x^(2)-2)^(11)

Write the coefficients of x^(2) in each of the following : 2 + x^(2) + x

If the coefficient of x in the expansion of prod_(r=1)^(110)(1+rx) is lambda(1+10)(1+10+10^(2)) , then the value of lambda is

State the coefficient of x^(2) in each of the following polynomials : sqrt(2)x^(2) + 7x - 4sqrt(2)

The real value of x for which the statement 2log_(10)x-log_(10)(2x-75)=2 is

Show that the ratio of the coefficient of x^(10) in (1-x^(2)) and the term independent of x in (x - 2/x)^(10) is 1:32

For any value of x the expression 2(k-x)(x+sqrt(x^2+k^2)) cannot exceed