Home
Class 11
MATHS
Show that the term containing to does no...

Show that the term containing to does not exist in the expansion of `(3x-1/(2x))^8`

Text Solution

Verified by Experts

`T_(r+1) = (-1)^(r)*^(8)C_(r)*(3x)^((8-r)) .(1/(2x))^(r)`
`rArr T_(r+1) = (-1)^(r)*^(8) C_(r)*3^(8-r)*1/2^(r) *x ^((8-2r)).`
Now, `8-2r = 3 rArr r=5/2`, which is a fraction.
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    RS AGGARWAL|Exercise EXERCISE 10B|16 Videos

  • BINOMIAL THEOREM

    RS AGGARWAL|Exercise EXERCISE 10B|16 Videos

  • ARITHMETIC PROGRESSION

    RS AGGARWAL|Exercise Exercise 11F (Very Short-Answer Type Questions)|17 Videos

  • CIRCLE

    RS AGGARWAL|Exercise EXERCISE 21 B|18 Videos

Similar Questions

Explore conceptually related problems

Find the middle term in the expansion of (3x-(1)/(2x))^(16)

Find the middle term in the expansion of (3x-(1)/(2x))^(16)

Show that the term independent of x in the expansion of (x-1/x)^(10) is -252 .

Show that there will be no term containing x^(2r) in the expansion of (x+x^-2)^(n-3) if n-2r is a positive integer but not a multiple of 3.

Consider the expansion (x^(2)+(1)/(x))^(15) . Consider the following statements: 1. The term containing x^(2) does not exist in the given expansion. 2. The sum of the coefficients of all the terms in the given expansion is 2^(15) . Which of the above statements is/are correct ?

The term containing x in the expansion of (x^(2)+(1)/(x))^(5) is

Show that there are no terms independent of in the expansion of (x+1/x)^19

Find the term independent of x in the expansion of (3x^(2)-(1)/(2x^(3)))^(10)

RS AGGARWAL-BINOMIAL THEOREM-EXERCISE 10A
  1. Find the coefficient of :\ x\ in the expansion of (1-3x+7x^2)(1-x)^(1...

    Text Solution

    |

  2. Find the coefficient of (i) x^(5)" in the expansion of "(x+3)^(8) (...

    Text Solution

    |

  3. Show that the term containing to does not exist in the expansion of (3...

    Text Solution

    |

  4. Does the expansion of (2x^2-1/x)^(20) contain any term involving x^9?

    Text Solution

    |

  5. Show that the expansion of (x^2+1/x)^1 does not contain any term invol...

    Text Solution

    |

  6. Write the general term in the expansion of (x^(2)-y)^(6).

    Text Solution

    |

  7. Find the 5th term from the end in the expansion of (x-1/x)^(12).

    Text Solution

    |

  8. Find the 4th term from the end in the expansion of ((4x)/5-5/(2x))^9do...

    Text Solution

    |

  9. If the 7th terms from the beginning and end in the expansion of ( root...

    Text Solution

    |

  10. Find the middle term in the expansion of : (i) 3+x)^(6) (ii)(...

    Text Solution

    |

  11. Find the two middle terms in the expansion of : (i) (x^(2)+a^(2))^(5) ...

    Text Solution

    |

  12. Find the term independent of x in the expansion of : (i) (2x+1/(3x^(...

    Text Solution

    |

  13. Find the coefficent of x^(5) in the expansion of (1+x)^(3)(1-x)^(6).

    Text Solution

    |

  14. Find numerically greatest term in the expansion of (2 + 3 x)^9, when x...

    Text Solution

    |

  15. 17. If the coefficients of 2nd, 3rd and 4th terms in the expansion of ...

    Text Solution

    |

  16. Find the 6th term of the expansion (y^(1//2) + x^(1//3))^(n) , if the ...

    Text Solution

    |

  17. If the 17th and 18th terms in the expansion of (2+a)^(50) are equal ,...

    Text Solution

    |

  18. Find the coefficient of x^(4) in the expansion of (1+x)^(n)(1-x)^(n). ...

    Text Solution

    |

  19. Prove that the coefficient of x^(n) in the binomial expansion of (1+x...

    Text Solution

    |

  20. If the middle term in the expansion of (p/2+2)^(8) is 1120, find p.

    Text Solution

    |