Home
Class 12
MATHS
If the coefficients of the (r-1) th and ...

If the coefficients of the `(r-1)` th and `(2r+3)` th terms in the equation of `(1+x)^(15)` are equal, find the value of r.

Text Solution

Verified by Experts

The correct Answer is:
5
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

If the coffcients of the (4r+5) ans (2r+1) th terms in the expansion of (1+x)^(10) are equal , find the value of r .

If the coefficients of (r-5)^th and (2r - 1)^th terms in the expansion of (1 + x)^34 are equal, find r.

If the coefficients of (r-5) th and(2r-1) th terms in the expansion of (1+x)^(34) are equal, find rdot

If the binomial coefficient of the (2r+4)^(th) term and (r-2)^(th) term in the expansion of (1+x)^(18) are equal find the value of r.

If the coefficients of (p +1) th and (p+3)th terms in the expansion of (1+x)^(2n) be equal show that , p =n-1 .

If the coefficients of the rth, (r+1)t h ,(r+2)t h terms is the expansion of (1+x)^(14) are in A.P, then the largest value of r is.

Find the value of r,if the coefficients of (2r+4)th and (r-2) -th terms in the expansion of (1+x)^18 are equal

The coefficients of 5th ,6th and 7th terms in the expansion of (1+x)^(n) are A.P . ,find n .

Find the value of r, if the coefficients of (2r+4) -th and (r-2) -th terms in the expansion of (1+x)^(18) are equal.

If the coefficients of rth and (r+1)t h terms in the expansion of (3+7x)^(29) are equal, then r is equals to a. 15 b. 21 c. 14 d. none of these

CHHAYA PUBLICATION-MISCELLANEOUS EXAMPLES-ALGEBRA
  1. Solve the following quadratic equation: \ x^2-(5-i)x+(18+i)=0

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  6. 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

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  17. If one root of the equation ax^(2)-2ibx-ic=0 be square of the other, t...

    Text Solution

    |

  18. Solve (7y^(2)+1)/(y^(2)-1)-4 ((y^(2)-1)/(7y^(2)+1))=-3

    Text Solution

    |

  19. Solve (x-(x)/(x+1))^(2)+2x((x)/(x+1))=3

    Text Solution

    |

  20. If alpha and beta are the roots of ax^(2)+bx+cid=0 find the equation ...

    Text Solution

    |