Home
Class 12
MATHS
If the coefficient of x^(3) in the expan...

If the coefficient of `x^(3)` in the expansion of `(x^(2) + (k)/(x))^(6)` be 160, then the value of k is-

Text Solution

Verified by Experts

The correct Answer is:
2
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    CHHAYA PUBLICATION|Exercise EXERCISE ( Long answer Type Questions )|40 Videos

  • BINOMIAL THEOREM

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Exams (Multiple Correct Answers Type)|5 Videos

  • BINOMIAL THEOREM

    CHHAYA PUBLICATION|Exercise EXERCISE (Very short answer Type Questions )|30 Videos

  • BINOMIAL DISTRUTION

    CHHAYA PUBLICATION|Exercise ASSERTION-REASON TYPE|2 Videos

  • CALCULUS

    CHHAYA PUBLICATION|Exercise JEE Advanced Archive (2014)|2 Videos

Similar Questions

Explore conceptually related problems

Coefficient of x^n in the expansion of (a+x)^(2n)

The coefficient of x^3 in the expansion of (1-x+x^2)^5 is

The coefficient of x^5 in the expansion of (x^2-x-2)^5 is

Find the coefficients of x^(-2) in the expansion of (3x-(7)/(x))^(8)

Find the coefficient of x^6y^3 in the expansion of (x+2y)^9

Find the coefficients of x^(-2) in the expansion of (2x^(3)-(1)/(x^(2)))^(6)

The coefficient of x^5 in the expansion of (1+x^2)(1+x)^4 is

Find the coefficient of x^6 y^3 in the expansion of (x+2y)^9 .

Find the coefficients of x^(15) in the expansion of (x^(3)+(2)/(x^(2)))^(10)

The coefficient of x^(-10) in the expansion of (x^2-1/x^3)^10 is

CHHAYA PUBLICATION-BINOMIAL THEOREM -EXERCISE ( short answer Type Questions )
  1. Examine whether or not there is any term independent of x in the expan...

    Text Solution

    |

  2. Examine whether or not there is any term containing x^(10) in the expn...

    Text Solution

    |

  3. If the coefficient of x^(3) in the expansion of (x^(2) + (k)/(x))^(6) ...

    Text Solution

    |

  4. If the term free from x in the expansion of (sqrt(x)-sqrt(m)/(x^(2)))^...

    Text Solution

    |

  5. If the 21st and 22nd terms in the expansion of (1+x)^(44) are equal , ...

    Text Solution

    |

  6. If the coefficient of x^(r)andx^(r+1) are equal in the expansion of (1...

    Text Solution

    |

  7. In the expansion of (1+x)^(20) , the coefficient of the rth term is to...

    Text Solution

    |

  8. If in the expansion of (1+x)^(43) ,the coefficient of (3r+1)th term be...

    Text Solution

    |

  9. prove that the coefficient of the (r +1)th term in the expansion of (...

    Text Solution

    |

  10. Show that the middle term in the expansion of (x+1)^(2n)" is " (1.3.5....

    Text Solution

    |

  11. Show that the coefficient of the middle term of (1+x)^(2m) is equal to...

    Text Solution

    |

  12. Show that the coefficient of the middle term in the expansion of (1+x...

    Text Solution

    |

  13. If the coefficients of (p +1) th and (p+3)th terms in the expansion of...

    Text Solution

    |

  14. Let n ge 5 b ne0, if in the binomial of (a-b)^(n), the sum of the 5th...

    Text Solution

    |

  15. If the coefficients of x^(2) and x^(11) in the expansion of (1+ax+2x^(...

    Text Solution

    |

  16. If in the expansion of (1+x)^(m)(1-x)^(n) the coefficients of xandx^(...

    Text Solution

    |

  17. Use binomial theorem to show that if nge1 is an integer then , (a) ...

    Text Solution

    |

  18. n(gt1) is a positive integer . Show that 14^(n)-13n-1 is divisible by...

    Text Solution

    |

  19. For every natural number n(gt1) , show that , 4^(n)+15n-1 is divisible...

    Text Solution

    |

  20. If n is a positive integer (gt1) , show that, (4^(2n+2)-15n-16) is a...

    Text Solution

    |