Home
Class 11
MATHS
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(x) + (lambda)/(x^(2)))^(10)` is 720 is

A

`sqrt(5)`

B

4

C

`2sqrt(5)`

D

`3

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • Solutions of Triangle & Binomial Theorem

    ALLEN|Exercise EXERCISE (J-A)|5 Videos

  • Solutions of Triangle & Binomial Theorem

    ALLEN|Exercise Do yourself -1|2 Videos

  • Solutions of Triangle & Binomial Theorem

    ALLEN|Exercise EXERCISE (S-2)|6 Videos

  • SOLUTION AND PROPERTIES OF TRIANGLE

    ALLEN|Exercise All Questions|106 Videos

  • TRIGNOMETRIC RATIOS AND IDENTITIES

    ALLEN|Exercise All Questions|1 Videos

Similar Questions

Explore conceptually related problems

The positive value of 'a' so that the coefficient of x^5 is equal to that of x^15 in the expansion (x^2+a/x^3)^10 is

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

The least integral value of lambda for which the expression (lambdax^(2)-4x+3lambda+1) is positive for all x in R,is

Write the value of lambda for which x^2+4x+lambda is a perfect square.

The value value of lambda so that the line y=2x+lambda may touch the ellipse 3x^(2)+5y^(2)=15

The least positive integral value of lambda for which two chords bisected by x-axis can be drawn to the circle x^2 + y^2 - lambdaax-ay-a^2 (lambda^2 + 1) = 0 , from point (a(lambda-1), a (lambda + 1) is ..

The value of lambda for which the sum of squares of roots of the equation x^2+(3-lambda)x+2=lambda is minimum, then lambda is equal to (a) 2 (b) -1 (c) -3 (d) -2

Find the range of values of lambda for which the point (lambda,-1) is exterior to both the parabolas y^2=|x|dot

Find the range of values of lambda for which the point (lambda,-1) is exterior to both the parabolas y^2=|x|dot

The value of lambda for which the equation x^2-y^2 - x - lambda y - 2 = 0 represent a pair of straight line, are

ALLEN-Solutions of Triangle & Binomial Theorem-EXERCISE (J-M)
  1. The sum of coefficient of integral powers of x in the binomial expansi...

    Text Solution

    |

  2. The value of (.^(21)C(1) - .^(10)C(1)) + (.^(21)C(2) - .^(10)C(2)) + (...

    Text Solution

    |

  3. The sum of the co-efficients of all odd degree terms in the expansion ...

    Text Solution

    |

  4. If the fractional part of the number (2^(403))/(15) is (k)/(15) then k...

    Text Solution

    |

  5. The positive value of lambda for which the coefficient of x^(2) in the...

    Text Solution

    |

  6. The sum of the real values of x for which the middle term in the binom...

    Text Solution

    |

  7. The value of r for which .^(20)C(r ), .^(20)C(r - 1) .^(20)C(1) + .^...

    Text Solution

    |

  8. Let (x+10)^(50)+(x-10)^(50)=a(0)+a(1)x+a(2)x^(2)+...+a(50)x^(50) for a...

    Text Solution

    |

  9. Let Sn=1+q+q^2 +...+q^n and Tn =1+((q+1)/2)+((q+1)/2)^2+...((q+1)/2)^n...

    Text Solution

    |

  10. Ratio of the 5^(th) term from the beginning to the 5^(th) term from th...

    Text Solution

    |

  11. The number of irrational terms in expansion (7^(1/5)-3^(1/10))^60 is ...

    Text Solution

    |

  12. The sum of the series .^(20)C(0)-.^(20)C(1)-.^(20)C(2)-.^(20)C(3)+…+,....

    Text Solution

    |

  13. If some three consecutive coefficeints in the binomial expanison of (x...

    Text Solution

    |

  14. If the coefficients of x^(2) and x^(3)are both zero, in the expansion ...

    Text Solution

    |

  15. The smallest natural number n, such that the coefficient of x in the e...

    Text Solution

    |

  16. If .^(20)C(1)+(2^(2)).^(20)C(2)+(3^(2)).^(20)C(3)+……..+(20^(2)).^(20)C...

    Text Solution

    |

  17. The term independent of x in the expansion of (1/60-(x^(8))/81).(2x^(...

    Text Solution

    |