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

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`

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_3+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_2+a_4+........+a_(2n)dot

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++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

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

If (3 + 7x - 9x^2)^n = a_0 +a_1x + a_2 x^2 + ……+a_(2n)x^(2n) prove the a_0 + a_2 +a_4 + …….= (1+ (-13)^n)/(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+.........

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

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-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

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. C is the complex numbers f:CrarrR is defined by f(z)=|z^(3)-z+2|. Find...

    Text Solution

    |

  2. Find the number of points where the function f(x) = max(|tanx|,cos|x|)...

    Text Solution

    |

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

    Text Solution

    |

  4. Let there are three points A (0, 4/3), B(–1, 0) and C(1, 0) in x – y p...

    Text Solution

    |

  5. Let f(x) be an increasing function defined on (0,oo) . If f(2a^2+a+1)>...

    Text Solution

    |

  6. Let f:[-(5pi)/(12),-pi/3]vecR is a function f(x)=tan(x+(2pi)/3)-tan(x+...

    Text Solution

    |

  7. If f (x) be a differentiable function satisfying f (y) f ((x)/(y))=f (...

    Text Solution

    |

  8. Let A (0,2),B and C be points on parabola y^(2)+x +4 such that /CBA (...

    Text Solution

    |

  9. If lines (x-3)/1=(y-[K])/2=(z-1)/1 and (x-1)/2=(y+1)/3=(z-1)/4 interse...

    Text Solution

    |

  10. General solution of the equation sin5theta+cos4theta=2 is (1) (4n+1)pi...

    Text Solution

    |

  11. If vec a , vec b , vec c are unit vector, prove that | vec a- vec b|^...

    Text Solution

    |

  12. Sum of the series : 1^3+2^3+4^3+5^3+7^3+...+59^3

    Text Solution

    |

  13. The focal distance of the point (9,6) on the parabola y^(2)=4x is

    Text Solution

    |

  14. Write the negative of the compound proposition p vv(~pvvq)

    Text Solution

    |

  15. If f(x)=x^3+2x^2+3x+4 and g(x) is the inverse of f(x) then g^(prime)(4...

    Text Solution

    |

  16. The probability that at least one of the events Aa n dB occurs is 0.6....

    Text Solution

    |

  17. If A=1/3|[1, 2, 2], [2, 1,-2],[a,2,b]| is an orthogonal matrix, then ...

    Text Solution

    |

  18. If a circle of constant radius 3k passes through the origin O and meet...

    Text Solution

    |

  19. The coefficient of x^3 in the expansion of 3/((1+3x)^3)i s

    Text Solution

    |

  20. If the equation ax^2+2bx+c=0 and ax^2+2cx+b=0 b!=c have a common root ...

    Text Solution

    |