Home
Class 12
MATHS
STATEMENT - 1 : The term independent of ...

STATEMENT - 1 : The term independent of x in the expansion of `(x+1/x+2)^(m)` is `((2m) !)/((m !)^(2))`
STATEMENT - 2 : The coefficient of `x^(b)` in the expansion of `(1+x)^(n)` is `.^(n)C_(b)`.

A

STATEMENT - 1 is true, STATEMENT - 2 is true and STATEMENT - 2 is correct explanation for STATEMENT - 1.

B

STATEMENT - 1 is true, STATEMENT - 2 is true and STATEMENT - 2 is not correct explanation for STATEMENT - 1.

C

STATEMENT-1 is true, STATEMENT-2 is false

D

STATEMENT-1 is false, STATEMENT-2 is true

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRATION & ITS APPLICATION

    RESONANCE|Exercise High Level Problem|37 Videos
  • EQUATIONS

    RESONANCE|Exercise EXERCISE-2 (PART-II: PREVIOUSLY ASKED QUESTION OF RMO) |7 Videos

Similar Questions

Explore conceptually related problems

The term independent of x in the expansion of (1+2x+(2)/(x))^(3) is

The coefficient of x^(n) in the expansion of ((1 + x)/(1-x))^(2), is

Find the coefficient of : x^(m) in the expansion of (x+(1)/(x))^(n).

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

if the term independent of x in the expansion (2x-(1)/(x))^(n) is -160, find n

The coefficient of x^(n) in the expansion of (1+x+x^(2)+...........)^(-n), is

Prove that the term independent of x in the expansion of (x+(1)/(x))^(2n) is (1.3.5....(2n-1))/(n!)*2^(n)

RESONANCE-DPP-QUESTION
  1. If (1!)^(2) + (2!)^(2) + (3!)^(2) + "…….." + (99!)^(2) is divided by 1...

    Text Solution

    |

  2. The coefficients of three consecutive terms of (1+x)^(n+5) are in the ...

    Text Solution

    |

  3. STATEMENT - 1 : The term independent of x in the expansion of (x+1/x+2...

    Text Solution

    |

  4. If roots of the equation x^2-2ax+a^2+a-3=0 are real and less than 3 t...

    Text Solution

    |

  5. A dictionary is made of the words that can be the position of the word...

    Text Solution

    |

  6. In how any ways can 8 different books be distributed among 3 students ...

    Text Solution

    |

  7. Let N be the number of quadratic equations with coefficients from {0, ...

    Text Solution

    |

  8. If the line y = x cuts the curve x^(3) + 3y^(3) - 30xy + 72x - 55 = 0 ...

    Text Solution

    |

  9. The interior angle bisector of angle A for the triangle ABC whose coor...

    Text Solution

    |

  10. The vertices of a triangle are A(x1,x1 tan alpha), B (x2,x2 tan Beta) ...

    Text Solution

    |

  11. The sides of a triangle are the straight lines x +y = 1 , 7y = x and y...

    Text Solution

    |

  12. If S(n) = sum(r=1)^(n) (r )/(1.3.5.7"……"(2r+1)), then

    Text Solution

    |

  13. If (3sqrt(3)+5)^n=p+f. where p is an integer and f is a proper fractio...

    Text Solution

    |

  14. A is a set containing n elements . A subet of A is chosen at random...

    Text Solution

    |

  15. A is a set containing n elements. A subset P of A is chosen. The set A...

    Text Solution

    |

  16. For natural numbers m, n if (1-y)^(m)(1+y)^(n) = 1+a(1)y+a(2)y^(2) + "...

    Text Solution

    |

  17. If S(n) = sum(r=0)^(n) (1)/(""^(n)C(r)) and t(n) =sum(r=0)^(n) (r )/("...

    Text Solution

    |

  18. If the equaion x^(2) + ax+ b = 0 has distinct real roots and x^(2) + a...

    Text Solution

    |

  19. Statement-1: sum(r =0)^(n) (r +1)""^(n)C(r) = (n +2) 2^(n-1) Stat...

    Text Solution

    |

  20. The number of ways in which four different letters can be put in their...

    Text Solution

    |