Home
Class 12
MATHS
Given that the 4th term in the expansion...

Given that the 4th term in the expansion of `(2+(3)/(8)x)^(10)` has the maximum numerical value, find the range of x for which the statement will be true.

Text Solution

Verified by Experts

The correct Answer is:
`(3)(4) lt x lt (8)/(7)`
Promotional Banner

Topper's Solved these Questions

  • MISCELLANEOUS EXAMPLES

    CHHAYA PUBLICATION|Exercise COORDINATE GEOMETRY (TWO DIMENSIONAL COORDINATE GEOMETRY)|124 Videos

  • MISCELLANEOUS EXAMPLES

    CHHAYA PUBLICATION|Exercise COORDINATE GEOMETRY (THREE DIMENSIONAL COORDINATE GEOMETRY)|10 Videos

  • MISCELLANEOUS EXAMPLES

    CHHAYA PUBLICATION|Exercise TRIGONOMETRY|148 Videos

  • METHOD OF SUBSTITUTION

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (Assertion-Reason Type)|2 Videos

  • ORDER AND DEGREE OF DIFFERENTIAL EQUATION

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (E Assertion - Reasion Type )|2 Videos

Similar Questions

Explore conceptually related problems

Given that the 4th term in the expansion of [2+(3x//8)]^(10) has the maximum numerical value. Then find the range of value of xdot

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

The 10^(th) term in the expansion of (2x^2+1/x)^(12) is

Determine : the 11th term in the expansion of ((x)/(2)-3y)^(n) .

Determine: 10th term in the expansion of (3a+2/a)^(12)

Find the middle term in the expansion of (x-1/(2y))^10 .

Find the third term in the expansion of (1-2x)^(3//2)""dot

Find the 6th term in expansion of (2x^2-1/(3x^2))^(10)dot

The index of x in the 10th term in the expansion of (a+x)^(19) is -

Find the fourth term in the expansion of (1-2x)^(3//2)""dot

CHHAYA PUBLICATION-MISCELLANEOUS EXAMPLES-ALGEBRA
  1. Using binomial theorem for a positive integral index, prove that (2^(3...

    Text Solution

    |

  2. Find the largest coefficient in the expansion of (1+x)^(n), given that...

    Text Solution

    |

  3. Given that the 4th term in the expansion of (2+(3)/(8)x)^(10) has the ...

    Text Solution

    |

  4. If x in RR then find the solution set of the inquation |3x-7| gt 4.

    Text Solution

    |

  5. Solve the following quadratic equation: \ x^2-(5-i)x+(18+i)=0

    Text Solution

    |

  6. For every natural number n, show that 7^(2n)+2^(3n-3)*3^(n-1) is alway...

    Text Solution

    |

  7. If the coefficients of the (r-1) th and (2r+3) th terms in the equatio...

    Text Solution

    |

  8. If n is a positive integer then using the indentiy (1+x)^(n)=(1+x)^(3)...

    Text Solution

    |

  9. If S(1), S(2), S(3),...S(n) are the sums of infinite geometric series,...

    Text Solution

    |

  10. If u(r)=(1)/(r!) then show that u(0)u(n)+8u(1)+u(n-1)+8^(2)u(2)u(n-2...

    Text Solution

    |

  11. a series is given by the following form : 1+(x+x^(2))+(x^(3)+x^(4)+x...

    Text Solution

    |

  12. If x= cos theta+i sin theta and 1+ sqrt(1-a^(2))=na, show that, (a)/(...

    Text Solution

    |

  13. Show that (a+ omega +omega ^(2))(a+omega ^(2)+omega ^(4))(a+omega ^(4)...

    Text Solution

    |

  14. Let z and omega tow complex number. If |z|= |omega| and areg (z) +arg...

    Text Solution

    |

  15. If z(1)+z(2) are two complex number and |(barz(1)-2bar z(2))/(2-z(1)ba...

    Text Solution

    |

  16. If x+iy moves on the line 3x+4y+5=0, prove that the minimum value of ...

    Text Solution

    |

  17. If |z^(2)|=9|z|, find the maximum and minimum values of |z|.

    Text Solution

    |

  18. Find the greatest value of |z| when |z-(6)/(z)|=2,z being a complex nu...

    Text Solution

    |

  19. Find the least value of |z+(1)/(z)| if |z| ge 3 (z being a complex ...

    Text Solution

    |

  20. If the roots of the equation ix^(2)-(b^(2)+c^(2))x+(c^(2)+d^(2))^(2)=0...

    Text Solution

    |