Home
Class 12
MATHS
Find the coefficients of x^(50) in the e...

Find the coefficients of `x^(50)` in the expression `(1+x)^(1000)+2x(1+x)^(999)+3x^2(1+x)^(998)++1001 x^(1000)` .

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

Find the coefficient of x^8 in the expansion of (x^2-1/x)^(10)

Find the coefficient of x^(50) in the expansion of (1+x)^(101)xx(1-x+x^2)^(100)dot

Find the coefficient of x^7 in the expansion of (x-1/(x^2))^(40) .

Find the coefficient of x^(10) in the expansion of (1+2x)/((1-2x)^(2)) .

Find the coefficient of x^-7 in the expansion of (2x-1/(3x^2))^11 .

Find the coefficient of x in the expansion of (1 - 3x + 7x^(2)) (1 - x)^(16) .

Find the coefficient of x in the expansion of (1-3x+7x^2)(1-x)^(16) .

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

Find the coefficient of x^(6) in the expansion of (2x^(3)-(1)/(3x^(3)))^(10)

Find the coefficient of x^(6) in the expansion of (2x^(3)-(1)/(3x^(3)))^(10)

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. If z1,z2,z3,z4 are imaginary 5th roots of unity, then the value of su...

    Text Solution

    |

  2. The domain of the derivative of the function f(x)={{:(tan^(-1)x ,if|x|...

    Text Solution

    |

  3. Find the coefficients of x^(50) in the expression (1+x)^(1000)+2x(1+x)...

    Text Solution

    |

  4. The sum of first p -terms of a sequence is p(p+1)(p+2)dot the 10th ter...

    Text Solution

    |

  5. If int(-1)^(4)f(x)dx=4 and int(2)^(4)(3-f(x))dx=7, then find the value...

    Text Solution

    |

  6. If hat a , hat b ,a n d hat c are three unit vectors, such that h...

    Text Solution

    |

  7. In a Delta ABC, show that (a cos A+b cos B+ c cos C)/(a+b+c)= (r )/(R...

    Text Solution

    |

  8. about to only mathematics

    Text Solution

    |

  9. If a+b+3c=1 and a gt 0, b gt 0, c gt 0, then the greratest value of a^...

    Text Solution

    |

  10. A tower stands at the centre of a circular park. A and B are two po...

    Text Solution

    |

  11. The value of sin^(-1)(3/(sqrt(73)))+cos^(-1)((11)/(sqrt(73)))+cos^(-1)...

    Text Solution

    |

  12. AB is a vertical pole with B at the ground level and A at the top. A...

    Text Solution

    |

  13. Set of all values of x satisfying in inequation cos^(-1)sqrt(x)>sin^(-...

    Text Solution

    |

  14. Consider the conic ex^(2)+piy^(2)-2e^(2)x-2pi^(2)y+e^(3)+pi^(3)= pie. ...

    Text Solution

    |

  15. If the equation sin(cot^(-1)(cot^(-1)(tan^(-1))))=lambda has a soluti...

    Text Solution

    |

  16. Let f be an injective map. with domain (x, y, z and range (1, 2, 3), s...

    Text Solution

    |

  17. The solution of the differential equation (x^2dy)/(dx)dotcos(1/x)-ysin...

    Text Solution

    |

  18. If 1 tan^(-1) x + sin^(-1).(2x)/(1 + x^(2)) is independent of x, then

    Text Solution

    |

  19. Minimum value of a^2cos e c^2theta+b^2sec^2theta is (where a b >0 )

    Text Solution

    |

  20. The solution set of the inequality 4(cos^(-1)x)^2-1geq0 is (a) [-1,cos...

    Text Solution

    |