Home
Class 12
MATHS
If the sum of the co-efficients of all t...

If the sum of the co-efficients of all the positive even powers of x in the binomial expansion of is `(2x^3+3/x)^(10)` is `5^(10)-beta.3^9` then `beta` is equal to ______

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • JEE MAINS 2022

    JEE MAINS PREVIOUS YEAR|Exercise MATHEMATICS (SECTION A)|20 Videos

  • JEE MAINS 2022

    JEE MAINS PREVIOUS YEAR|Exercise MATHEMATICS (SECTION B)|11 Videos

  • JEE MAINS 2022

    JEE MAINS PREVIOUS YEAR|Exercise MATHEMATICS (SECTION - B)|10 Videos

  • JEE MAINS 2021

    JEE MAINS PREVIOUS YEAR|Exercise Mathematics (Section A )|20 Videos

  • JEE MAINS 2023 JAN ACTUAL PAPER

    JEE MAINS PREVIOUS YEAR|Exercise Question|360 Videos

Similar Questions

Explore conceptually related problems

The sum of the co-efficients of all the even powers of x in the expansion of (2x^(2)-3x+1)^(11) is -

The sum of the coefficients of even powers of x in the expansion (1-x+x^(2)-x^(3))^(5) is

Find the sum of all the coefficients in the binomial expansion of (x^(2)+x-3)^(319)

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

Find the coefficient of x^(10) in the binomial expansion of (2x^(2)-(3)/(x))^(11), when x!=0

The sum of the coefficients of odd powers of x in the expansion (1+x+x^(2)+x^(3))^(5)

Find the term independent of x in the following binomial expansions (x!=0): (x^2- 3/x^3)^10

The sum of the real values of x for which the middle term in the binomial expansion of (x^3/3 + 3/x)^8 equals 5670 is :

JEE MAINS PREVIOUS YEAR-JEE MAINS 2022-Mathematics-Section B
  1. Let f (x)= [2x^2 +1] and g(x)={:{(2x-3,xlt0),(2x+3,xge0):} where [t] ...

    Text Solution

    |

  2. 12int3^b 1/((x^2-1)(x^2-4))=loge(49/40) then find value of b where b g...

    Text Solution

    |

  3. If the sum of the co-efficients of all the positive even powers of x i...

    Text Solution

    |

  4. If mean deviation about mean is (5(n+1))/n of data 1,2,3,4....n wher...

    Text Solution

    |

  5. Let vecb = hati +hatj + lamda hatk , lamda in RR . If veca is a vecto...

    Text Solution

    |

  6. The total number of three-digit numbers, with one digit repeated exact...

    Text Solution

    |

  7. Let f(x) = |(x - 1)(x^2 – 2x – 3)|+x-3,x in R. Ifm and M are respectiv...

    Text Solution

    |

  8. Hyperbola x^2/a^2-y^2/b^2=2 has eccentricity 5/4. If normal to the hyp...

    Text Solution

    |

  9. Let l1 be the line in xy-plane with x and y intercepts 1/8 and 1/(4s...

    Text Solution

    |

  10. If relation defined on set A= {1,2,3, . . .,50} , and relation R1 {(p,...

    Text Solution

    |

  11. The number of real solutions of the equation e^(4x)+4e^(3x)-58e^(2x)+4...

    Text Solution

    |

  12. The mean and standard deviation of 15 - observations are found to be 8...

    Text Solution

    |

  13. veca=2hati+hatj+3hatk , vecb=3hati+3hatj+hatk & vecc=c1hati+c2hatk+c3h...

    Text Solution

    |

  14. A ray of light passing tb.rough the point P (2, 3) reflects on the x-a...

    Text Solution

    |

  15. Let l be a line which is normal to the curve y = 2x^2 + x + 2 at a poi...

    Text Solution

    |

  16. Let A ={1, a1, a2 .. .... A(18).77} be a set of intgers with 1lta1lta2...

    Text Solution

    |

  17. The number of positive integers k such that the constant term in the b...

    Text Solution

    |

  18. The number of elements in the set {z=a+ibinCC:a,binZ and 1lt|z-3+2i|lt...

    Text Solution

    |

  19. Let the lines y+2x=sqrt(11)+7sqrt7 and 2y+x=2sqrt(11)+6sqrt7 be norma...

    Text Solution

    |

  20. Let S = {z in C: |z – 2| le 1, z(1 + i) + barz(1 - i) le2} . Let |z – ...

    Text Solution

    |