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

If `(1+x+x^2)^n=a_0+a_1x+a_2x^2+....+a_(2n)x^(2n)`, then `a_0+a_2+a_4+.....+a_(2n)` is

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP|Exercise All Questions|15 Videos

  • MATRICES

    RESONANCE DPP|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

Given that (1+x+x^2)^n=a_0+a_1x+a_2x^2+.....+a_(2n)x^(2n) find i) a_0 + a_1 +a_2 .. . . .+ a_(2n) ii) a_0 - a_1 + a_2 - a_3 . . . . + a_(2n) iii) (a_0)^2 - (a_1)^2 . . . . .+ (a_(2n))^2

If (1-x+x^(2n))^n=a_0+a_1x+a_2^2+.+a_(2n)x^(2n) then a_0+a_2+a_4+…..+a_(2n) equals (A) (3^n+1)/2 (B) 3^n-1)/2 (C) 1-3^n /2 (D) 3^n+ 1/2

If (1+2x-x^2)^n/(1+x^2)=a_0+a_1x+a_2x^2+...+a_(2n)x^(2n) then find a_0+a_2+a_4+...+a_(2n)

If (1+x-x^2)^n/(1+x^2)=a_0+a_1x+a_2x^2+...+a_(2n)x^(2n) then find a_0+a_1+a_2+...+a_(2n)

If (1+x-x^2)^n/(1+x^2)=a_0+a_1x+a_2x^2+...+a_(2n)x^(2n) then find a_0-a_1+a_2_...+a_(2n)

If (1+x+x^(2))^(n)=a_(0)+a_(1)x+a_(2)x^(2)+...+a_(2n)x^(2n), then a_(0)+a_(2)+a_(4)+....+a_(2n) is

If (1+x-x^2)^n/(1+x^2)=a_0+a_1x+a_2x^2+...+a_(2n)x^(2n) then find a_1+a_3+a_5+...+a_(2n-1)

If (1+x)^n=a_0+a_1x+a_2x^2+...+a_nx^n then find : a_0+a_3+a_6+a_9+… .

RESONANCE DPP-JEE MAINS-All Questions
  1. Make the following expressions free from modulus sign: (x in R) |2x-...

    Text Solution

    |

  2. (sqrt5-sqrt2)(sqrt5+sqrt2)

    Text Solution

    |

  3. If (1+x+x^2)^n=a0+a1x+a2x^2+....+a(2n)x^(2n), then a0+a2+a4+.....+a(2n...

    Text Solution

    |

  4. Make the following expressions free from modulus sign : (x in R) (...

    Text Solution

    |

  5. (sqrt5-sqrt2)(sqrt5+sqrt2)

    Text Solution

    |

  6. The possible number of ordered triplets (m, n, p) where m,np in N is (...

    Text Solution

    |

  7. Evaluate the following: 4!-3!

    Text Solution

    |

  8. Let O be an interior point of DeltaABC such that bar(OA)+2bar(OB) + ...

    Text Solution

    |

  9. Makes the following expressions free from modulus sign: (x in RR) |x^...

    Text Solution

    |

  10. If (cos^2x+1/(cos^2x)) (1+tan^2 2y)(3+sin3z)=4, then x is an integral ...

    Text Solution

    |

  11. Given abclt0 and a+b+cgt0. If (|a|)/a+(|b|)/b+(|c|)/c=x,then find the ...

    Text Solution

    |

  12. Make the following expressions free from modulus sign : (x in R) (...

    Text Solution

    |

  13. The value of lim(x->1/2)((f(x)+x-1)^3)/((x-1/2) is

    Text Solution

    |

  14. Investigate for the maxima and minima of the function f(x)=int1^x[2(t...

    Text Solution

    |

  15. Make the following expressions free from modulus sign : (x in R) (...

    Text Solution

    |

  16. Find the equation of the largest circle with centre (1, 0) that can be...

    Text Solution

    |

  17. One side of square ABCD is on the line y=2x-17 and other two vertices ...

    Text Solution

    |

  18. Make the following expressions free from modulus sign : (i) |x^(2) -...

    Text Solution

    |

  19. If vec a,vec b,vec c are three non-coplanar vectors represented by co...

    Text Solution

    |

  20. A die is rolled and showing any number is directly proportional to tha...

    Text Solution

    |