Home
Class 12
MATHS
In the expansion of (x^(2) + 1 + (1)/(x^...

In the expansion of `(x^(2) + 1 + (1)/(x^(2)))^(n), n in N`,

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP ENGLISH|Exercise All Questions|15 Videos
  • MATRICES

    RESONANCE DPP ENGLISH|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

The smallest natural number n, such that the coefficient of x in the expansion of (x^(2) + (1)/(x^(3)))^(n) is .^(n)C_(23) , is

If the expansion of (x - (1)/(x^(2)))^(2n) contains a term independent of x, then n is a multiple of 2.

If the expansion of (x - (1)/(x^(2)))^(2n) contains a term independent of x, then n is a multiple of 2.

The middle term in the expansion of (1 - (1)/(x))^(n) (1 - x)^(n) is

If x^p occurs in the expansion of (x^2 + (1)/(x) )^(2n) , prove that its coefficient is ((2n)!)/( [ (1)/(3) (4n - p)!][(1)/(3) (2n + p) !])

If the number of terms in the expansion of (1+x)^(101)(1+x^(2)-x)^(100) is n, then the value of (n)/(25) is euqal to

If 'n' is a positive integer then prove that the coefficient fo x^(m) in the expansion of (x^(2)+(1)/(x))^(2n) is :

If 'n' is a positive integer then prove that the coefficient fo x^(m) in the expansion of (x^(2)+(1)/(x))^(2n) is :

The sum of the coefficients in the expansion of (1 - x + x^(2) - x^(3))^(n) ,is

The coefficients fo x^(n) in the expansion of (1+x)^(2n) and (1+x)^(2n-1) are in the ratio

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. Q. if f(n,theta)=prod(r=1)^n(1-tan^2(theta/2^r)), then compute lim(n->...

    Text Solution

    |

  2. A triangle is formed by the lines whose combined equation is given by ...

    Text Solution

    |

  3. In the expansion of (x^(2) + 1 + (1)/(x^(2)))^(n), n in N,

    Text Solution

    |

  4. if y^(2)(y^(2)-6)+x^(2)-8x+24=0, then maximum value of sqrt(y^(4)+x^(2...

    Text Solution

    |

  5. The tangent to y = ax ^(2)+ bx + (7 )/(2) at (1,2) is parallel to the ...

    Text Solution

    |

  6. Let Sn=1+2+3++n and Pn=(S2)/(S2-1)dot(S3)/(S3-1)dot(S4)/(S4-1)...(Sn)...

    Text Solution

    |

  7. A curve is represented parametrically by the equations x=t+e^(at) and ...

    Text Solution

    |

  8. Point A lies on the line y=2x and the sum of its abscissa and ordinate...

    Text Solution

    |

  9. A committee of two persons is selected from two men and two women. ...

    Text Solution

    |

  10. The number of possible outcomes in a throw of n ordinary dice in wh...

    Text Solution

    |

  11. If Ram secures 100 marks n math then he will get a mobile. The logica...

    Text Solution

    |

  12. Find the coefficient of x^4 in the expansion of (1+x+x^2+x^3)^(11)dot

    Text Solution

    |

  13. The sum of digits in the units place of all numbers formed with the...

    Text Solution

    |

  14. Find the point where the line x+y=6 is a normal to the parabola y^2=8x...

    Text Solution

    |

  15. The eccentricity of the conjugate hyperbola of the hyperbola x^2-3y^2=...

    Text Solution

    |

  16. Let y=f(x) be satisfying differential equation e^(-x^(2))(dy)/(dx)=2xy...

    Text Solution

    |

  17. Tangents are drawn from the points on the line x-y-5=0 to x^2+4y^2=4 ....

    Text Solution

    |

  18. The points (p,q +r) , (q, r+p) and (r, q+p) are "".

    Text Solution

    |

  19. lf r1 and r2 are the distances of points on the curve 10(ZbarZ)-3i(Z^2...

    Text Solution

    |

  20. int(dx)/(ax^(2)+bx+c)=k(1)tan^(-1)(x+A)/(B)+C if

    Text Solution

    |