Home
Class 12
MATHS
If (1+x+x^2++x^p)^n=a0+a1x+a2x^2++a(n p)...

If `(1+x+x^2++x^p)^n=a_0+a_1x+a_2x^2++a_(n p)x^(n p),` then find the value of `a_1+2a_2+3a_3+ddot+n pa_(n p)dot`

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

If (1+x+x^2)^n=a_0+a_1x+a_2x^2++a_(2n)x_(2n), find the value of a_0+a_6++ ,n in Ndot

If (1+x+x^2)^n=a_0+a_1x+a_2x^2++a_(2n)x^(2n), find the value of a_0+a_3+a_6++ ,n in Ndot

If (1+x-2x^2)^(20)=a_0+a_1x+a_2x^2+a_3x^3++a_(40)x^(40), then find the value of a_1+a_3+a_5++a_(39)dot

If (1-x+x^2)^n=a_0+a_1x+a_2x^2+ .........+a_(2n)x^(2n),\ find the value of a_0+a_2+a_4+........+a_(2n)dot

If (1+x-2x^2)^(20)=a_0+a_1x+a_2x^2+a_3x^3+...+a_(40)x^(40), then find the value of a_1+a_3+a_5+...+a_(39)dot

If (3 + 7x - 9x^2)^n = a_0 +a_1x + a_2 x^2 + ……+a_(2n)x^(2n) prove the a_0 +a_1 +a_2 + ……+a_(2n) = 1

If (1+2x +3x^2)^10 = a_0 +a_1x +a_2x^2 + ……+a_20x^20 then a_1 = ?

If (1 + x +x^2)^n = a_0 +a_1x + a_2x^2 + ….+a_(2n)x^(2n) then prove that a_0 +a_2 +a_4+……+a_(2n) = (3^n +1)/(2)

If (1+x+x^2)^n = a_0+a_1x+a_2x_2 +..............+a_(2n)x^(2n) then the value of a_1+a_4+a_7+.........

lf (1 + x + x^2 + x^3)^5 = a_0+a_1x +a_2x^2+.....+a_(15)x^15 , then a_(10) equals to

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. If a conic passing through origin has (3,3),(-4,4) as its foci, then a...

    Text Solution

    |

  2. If [.] is the greatest integer function and f(x)=[tan^2x], then (a) ("...

    Text Solution

    |

  3. If (1+x+x^2++x^p)^n=a0+a1x+a2x^2++a(n p)x^(n p), then find the value o...

    Text Solution

    |

  4. sqrt(-1-sqrt(-1-sqrt(-1oo))) is equal to (where omega is the imaginary...

    Text Solution

    |

  5. Evaluate: ("lim")(nvec0)8/(x^8){1-cos(x^2)/2-cos(x^2)/4+cos(x^2)/2cos(...

    Text Solution

    |

  6. If (1+x)^(15)=C0+C1x+C2x^2++C(15)x^(15), then find the su of C1+2C3+3C...

    Text Solution

    |

  7. G i v e nint0^(pi/2)(dx)/(1+sinx+cosx)=log2. Then the value of integr...

    Text Solution

    |

  8. If y=y(x) and (2+sinx)/(y+1)((dy)/(dx))=-cosx ,y(0)=1, then y(pi/2)=

    Text Solution

    |

  9. There are six periods in each working day of a school. Find the number...

    Text Solution

    |

  10. Prove that: In=int0^oox^(2n+1) e^ (-x^2) dx=(n !)/2,n in N.

    Text Solution

    |

  11. The number of all possible selections of one or more questions from 10...

    Text Solution

    |

  12. overset(pi)underset(-pi)int [cos px-sin qx]^(2) dx where p,q are integ...

    Text Solution

    |

  13. A forecast forr Indian team is to be made of the results of five crick...

    Text Solution

    |

  14. If z=x+iy then the equation of a straight line A x+B y+C=0 where A ,B ...

    Text Solution

    |

  15. sum(r=0)^n(-1)^r^n Cr[1/(2^r)+3/(2^(2r))+7/(2^(3r))+(15)/(2^(4r))+ u p...

    Text Solution

    |

  16. If two events A and B are such that P(A^c)=0. 3. P(B)=0. 4a n dP(AnnB^...

    Text Solution

    |

  17. If four G.M.s are inserted between k1c and k2d , where k2=64 k1, then ...

    Text Solution

    |

  18. How many different nine-digit numbers can be formed from the digits of...

    Text Solution

    |

  19. 18 points are indicated on the perimeter of a triangle ABC . If three ...

    Text Solution

    |

  20. If P(A)=0. 59 ,P(B)=0. 30P(AnnB)=0. 21 , then P(A^(prime)nnB^(prime)...

    Text Solution

    |