Home
Class 11
MATHS
If T0,T1, T2, ,Tn represent the terms i...

If `T_0,T_1, T_2, ,T_n` represent the terms in the expansion of `(x+a)^n ,` then find the value of `(T_0-T_2+T_4-)^2+(T_1-T_3+T_5-)^2n in Ndot`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    CENGAGE ENGLISH|Exercise All Questions|886 Videos

Similar Questions

Explore conceptually related problems

In the expansion of (x-1/(3x^2))^9, the term independent of x is a. T_3 b. T_4 c. T_5 d. none of these

If t gt0 and t^(2)-4=0 , what is the value of t ?

Find the value of ln(int_(0)^(1) e^(t^(2)+t)(2t^(2)+t+1)dt)

The coefficients of (r-1)^(t h),\ r t h\ a n d\ (r+1)^(t h) terms in the expansion of (x+1)^n are in the ratio 1:3:5. Find n\ a n d\ rdot

If the coefficients of (r-5)t h a n d(2r-1)t h terms in the expansion of (1+x)^(34) are equal, find rdot

If T_2/T_3 in the expansion of (a + b)^n and T_3/T_4 in the expansion of (a + b)^(n+3) are equal, then n is equal to

If int_0^1(e^t)/(1+t)dt=a , then find the value of int_0^1(e^t)/((1+t)^2)dt in terms of a .

(1)/(4) T T, (1)/(2)Tt,(1)/(4) t t is binomial expansion of

If t_(1),t_(2),t_(3) are the feet of normals drawn from (x_(1),y_(1)) to the parabola y^(2)=4ax then the value of t_(1)t_(2)t_(3) =

Given that T_(1)=100 N then find T_(2)

CENGAGE ENGLISH-BINOMIAL THEOREM-All Questions
  1. Find the sum C0+3C1+3^2C2++3^n Cndot

    Text Solution

    |

  2. If (1+x)^n=sum(r=0)^n Cr x^r , then prove that C1+2C2+3C3+....+n Cn=n2...

    Text Solution

    |

  3. If T0,T1, T2, ,Tn represent the terms in the expansion of (x+a)^n , t...

    Text Solution

    |

  4. If (1+x+x^2)^n=a0+a1x+a2x^2++a(2n)x^(2n), find the value of a0+a3+a6+...

    Text Solution

    |

  5. Find the sum C0-C2+C4-C6+ ......... ,where Cr=^n Cr .

    Text Solution

    |

  6. Prove that ^n C0+^n C3+^n C6+=1/3(2^n+2cos((npi)/3)) .

    Text Solution

    |

  7. Given that the 4th term in the expansion of [2+(3x//8)]^(10) has the m...

    Text Solution

    |

  8. Find the greatest coefficient in the expansion of (1+2x//3)^(15)dot .

    Text Solution

    |

  9. Find the greatest term in the expansion of sqrt(3)(1+1/(sqrt(3)))^(20)...

    Text Solution

    |

  10. Find the numerically greatest term in the expansion of (3-5x)^(15)w h ...

    Text Solution

    |

  11. Let n be an odd natural number greater than 1. Then , find the number...

    Text Solution

    |

  12. Find the remainder when 27^(40) is divided by 12.

    Text Solution

    |

  13. In the expansion of (1+x)^n , 7th and 8th terms are equal. Find the ...

    Text Solution

    |

  14. Find the sum sum(j=0)^n( ^(4n+1)Cj+^(4n+1)C(2n-j)) .

    Text Solution

    |

  15. Show that no three consecutive binomial coefficients can be in G.P.

    Text Solution

    |

  16. Find the sum sum(r=1)^n r^n (^nCr)/(^nC(r-1)) .

    Text Solution

    |

  17. Show that 9^(n+1)-8n-9 is divisible by 64, where n is a positive integ...

    Text Solution

    |

  18. If the 3rd, 4th , 5th and 6th term in the expansion of (x+alpha)^n ...

    Text Solution

    |

  19. Find the remainder when 7^(98) is divided by 5.

    Text Solution

    |

  20. Show that 2^(4n+4)-15n-16, where n in N is divisible by 225.

    Text Solution

    |