Home
Class 12
MATHS
The sum of coefficient of even powers of...

The sum of coefficient of even powers of `x` in `(x +sqrt(x^(3) - 1))^(6)` + (x-sqrt(x^(3)-1))^(6)` is: (A) 23 (B) 24 (C) 18 (D) 21

Promotional Banner

Topper's Solved these Questions

  • JEE MAIN

    JEE MAINS PREVIOUS YEAR ENGLISH|Exercise MATH|21 Videos

  • LIMITS AND DERIVATIVES

    JEE MAINS PREVIOUS YEAR ENGLISH|Exercise All Questions|5 Videos

Similar Questions

Explore conceptually related problems

Sum of coefficients of terms of even powers of x in (1 - x + x^2 - x^3)^7 is

The sum of the coefficients of all even degree terms in x in the expansion of (x+sqrt(x^(3)-1))^(6)+(x-sqrt(x^(3)-1))^(6) , (xlt1) is equal to 4k. The value of k is ________

Find the coefficient of x^3 in ( sqrt(x^5) + (3)/(sqrt(x^3)) )^6

Find the number of terms in the expansion of (x+sqrt(x^2-1))^6+(x-sqrt(x^2-1))^6

Evaluate the following: \ (x+sqrt(x^2-1))^6+(x-sqrt(x^2-1))^6

The sum of the coefficients of even power of x in the expansion of (1+x+x^2+x^3)^5 is 256 b. 128 c. 512 d. 64

The sum of the coefficients of powers of x int eh expansion of the polynomial (x-3x^2+x^3)^99 is (A) 0 (B) 1 (C) 2 (D) -1

Find the sum of the coefficients of all the integral powers of x in the expansion of (1+2sqrt(x))^(40)dot

Evaluate the following: (sqrt(x+1)+sqrt(x-1))^6+(sqrt(x+1)-sqrt(x-1))^6

int(x+3sqrt(x^(2))+6sqrt(x))/(x(1+3sqrt(x)))dx

JEE MAINS PREVIOUS YEAR ENGLISH-JEE MAINS-All Questions
  1. There are 60 students in a classes, out of which 40 opt for NCC, 30 op...

    Text Solution

    |

  2. Let f(x)=(1+m)x^2-2(1+3m)x+4(1+2m). Numbe of interval values of m for...

    Text Solution

    |

  3. The sum of coefficient of even powers of x in (x +sqrt(x^(3) - 1))^(6)...

    Text Solution

    |

  4. Let sin(alpha -beta) = (5)/(13) and cos(alpha + beta) = (3)/(5), then...

    Text Solution

    |

  5. The line x + y = n, n in N makes intercepts with x^(2) + y^(2) = 16. T...

    Text Solution

    |

  6. \'If you are born in India then you are citizen of India\'\' contrapos...

    Text Solution

    |

  7. Let A = [[cos alpha, -sin alpha],[sin alpha, cos alpha]] and A^(32) =...

    Text Solution

    |

  8. lim(x to 0) (sin^(2) x)/(sqrt(2)-sqrt(1+cos x))= (A) sqrt(2) (B) ...

    Text Solution

    |

  9. Find the area enclosed by the curves x^2=y , y=x+2,

    Text Solution

    |

  10. Find the mean of 43, 51, 50, 57 and 54.

    Text Solution

    |

  11. Show that the height of the cylinder of maximum volume that can be ...

    Text Solution

    |

  12. Using integration, find the area of the triangle formed by positive x-...

    Text Solution

    |

  13. if f(x) ={{:( sin x, xlt0),(cos x-|s-1|,x ge0):} then g(g) = f(|x|...

    Text Solution

    |

  14. Find area bounded by the curves x^(2)leylex+2

    Text Solution

    |

  15. In the expansion at ((2)/(x)+x^(log(e)x))^(6) if T(4)=20xx8^(7) then v...

    Text Solution

    |

  16. If one root fo the quadratic equation ix^(2)-2(i+1)x+(2-i)=0,i=sqrt(-1...

    Text Solution

    |

  17. If alpha,beta are the roots of x^(2)+x+1=0 then |{:(Y+1,beta,alpha),...

    Text Solution

    |

  18. One end point of a focal chrod of a parabola y^(2)=16x is (1,4). The l...

    Text Solution

    |

  19. Find the negation of p∨(-p ∧ q)

    Text Solution

    |

  20. A curve f(x)=x^(3)+ax-b pass through p(1,-5) and tangent to f(x) at po...

    Text Solution

    |