Home
Class 12
MATHS
If the 2^("nd"),3^("rd")" and "4^("th") ...

If the `2^("nd"),3^("rd")" and "4^("th")` terms in the expansion of `(a+x)^(n)` are respectively 240, 720, 1080, find a, x, n.

Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    AAKASH SERIES|Exercise EXERCISE - 1.2 (Level - 1) |19 Videos

  • BINOMIAL THEOREM

    AAKASH SERIES|Exercise EXERCISE - 1.3 (Level - 1) |42 Videos

  • BINOMIAL THEOREM

    AAKASH SERIES|Exercise PRACTICE EXERCISE|95 Videos

  • AREAS

    AAKASH SERIES|Exercise Exercise-3.2|21 Videos

  • CIRCLE

    AAKASH SERIES|Exercise EXERCISE -1.4|38 Videos

Similar Questions

Explore conceptually related problems

Find the 4^th term in the expansion of (x-2y)^12 .

The (n+1) the term in the expansion of e^(4x) is

The (n+1)th term in the expansion of e^(-3x) is

The (n+1)th term in the expansion of e^(-2) is

The middle term in the expansion of (x + 1/x)^(2n) is

Find the 6^(th) term in the expansion of ((2x)/3 +(3y)/2) ⁹

If the 2nd and 3rd terms in the expansion of (1+x)^n are 20a and 180a^2 respectively then (x,n)=

Prove that : Find the 5^("th") term in the expansion of (3x-4y)^(7) .

AAKASH SERIES-BINOMIAL THEOREM-EXERCISE - 1.1 (Level - 1)
  1. Find the numerically greatest term of (5x-6y)^(14), x=(2)/(5), y=(1)...

    Text Solution

    |

  2. If the coefficients of x^(9),x^(10),x^(11) in expansion of (1+x)^(n) a...

    Text Solution

    |

  3. If the 2^("nd"),3^("rd")" and "4^("th") terms in the expansion of (a+x...

    Text Solution

    |

  4. If (1+x+2x^(2)+4x^(3))^(10)=a(0)+a(1)x+a(2)x^(2)+….+a(30)x^(30). Fi...

    Text Solution

    |

  5. If (1+x+2x^(2)+4x^(3))^(10)=a(0)+a(1)x+a(2)x^(2)+….+a(30)x^(30). Fi...

    Text Solution

    |

  6. If (1+x+2x^(2)+4x^(3))^(10)=a(0)+a(1)x+a(2)x^(2)+….+a(30)x^(30). Fi...

    Text Solution

    |

  7. If (1+x+2x^(2)+4x^(3))^(10)=a(0)+a(1)x+a(2)x^(2)+….+a(30)x^(30). Fi...

    Text Solution

    |

  8. If (1+x+x^(2))^(n)=b(0)+b(1)x+b(2)x^(2)+….+b(2n)x^(2n) then prove that...

    Text Solution

    |

  9. If (1+x+x^(2))^(n)=b(0)+b(1)x+b(2)x^(2)+….+b(2n)x^(2n) then prove that...

    Text Solution

    |

  10. If (1+x+x^(2))^(n)=b(0)+b(1)x+b(2)x^(2)+….+b(2n)x^(2n) then prove that...

    Text Solution

    |

  11. If (1+x+x^(2))^(n)=b(0)+b(1)x+b(2)x^(2)+….+b(2n)x^(2n) then prove that...

    Text Solution

    |

  12. If (1+x+x^(2))^(n)=b(0)+b(1)x+b(2)x^(2)+….+b(2n)x^(2n) then prove that...

    Text Solution

    |

  13. If (1+x+x^(2))^(n)=b(0)+b(1)x+b(2)x^(2)+….+b(2n)x^(2n) then prove that...

    Text Solution

    |

  14. If (1+x+x^(2))^(n)=b(0)+b(1)x+b(2)x^(2)+….+b(2n)x^(2n) then prove that...

    Text Solution

    |

  15. Prove that AA n in N 3^(3n)-26n-1 is divisible by 676.

    Text Solution

    |

  16. Prove that AA n in N 6^(n)-5n leaves remainder 1 when divided by 25...

    Text Solution

    |

  17. Prove that AA n in N 9^(n+1)-8n-9 is divisible by 64

    Text Solution

    |

  18. Prove that AA n in N 5^(4n)+52n-1 is divisible by 676.

    Text Solution

    |

  19. If the coefficient of x^7 in (ax^2+(1)/(bx))^11 equals the coefficient...

    Text Solution

    |

  20. Show that the number of terms with integral values in the expansion of...

    Text Solution

    |