Home
Class 12
MATHS
Let tr denote the r^(th) term of an A.P...

Let `t_r` denote the `r^(th)` term of an A.P. Also suppose `t_m=1/n` and `t_n=1/m` for some positive integers `m` and `n` then which of the following is necessarily a root of the equation? `(l+m-2n)x^2+(m+n-2l)x+(n+l-2m)=0`

A

`t_(n)`

B

`t_(m)`

C

`t_(m +n)`

D

`t_(m)`

Text Solution

Verified by Experts

The correct Answer is:
4
Promotional Banner

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    AAKASH INSTITUTE|Exercise Assignment (SECTION - C) More than one option are correct|11 Videos

  • SEQUENCES AND SERIES

    AAKASH INSTITUTE|Exercise Assignment (SECTION - D) Linked Comprehension|12 Videos

  • SEQUENCES AND SERIES

    AAKASH INSTITUTE|Exercise Assignment (SECTION - A) One option is correct|60 Videos

  • RELATIONS AND FUNCTIONS

    AAKASH INSTITUTE|Exercise Assignment (Section - J) Aakash Challengers Questions|8 Videos

  • SETS

    AAKASH INSTITUTE|Exercise SECTION-I(Aakash Challengers Questions)|5 Videos

Similar Questions

Explore conceptually related problems

Let T_(r) be the rth term of an AP, for r=1,2,… If for some positive integers m and n, we have T_(m)=(1)/(n) and T_(n)=(1)/(m)," the "T_(m+n) equals

Let T_(r) denote the rth term of a G.P.for r=1,2,3,... If for some positive integers m and n, we have T_(m)=1/n^(2) and T_(n)=1/m^(2) ,then find the value of T_(m+n/2)

Let T_(r) be the r^(th) term of an A.P whose first term is a and common difference is d IF for some integer m,n,T_(m)=(1)/(n) and T_(n)=(1)/(m) then a-d=

If L+M+N=0 and L,M,N are rationals the roots of the equation (M+N-L)x^(2)+(N+L-M)x+(L+M-N)=0 are

AAKASH INSTITUTE-SEQUENCES AND SERIES -Assignment (SECTION - B) One option is correct
  1. If theta1,theta2,theta3, ,thetan are in AP, whose common difference i...

    Text Solution

    |

  2. Consider that 10 arithmetic means are inserted between 3 and 7 and ...

    Text Solution

    |

  3. Let tr denote the r^(th) term of an A.P. Also suppose tm=1/n and tn=1...

    Text Solution

    |

  4. The sum of the first 100 terms common to the series 17, 21, 25, 29...

    Text Solution

    |

  5. If the sixth term of a GP be 2, then the product of first eleven te...

    Text Solution

    |

  6. Let an be the nth term of a G.P. of positive numbers. Let sum(n=1)^(10...

    Text Solution

    |

  7. The series . (2x)/(x + 3) + ((2x)/(x + 3))^(2) + ((2x)/(x + 3))^(3) +...

    Text Solution

    |

  8. Four geometric mens are inserted between the number 2^(11) - 1 an...

    Text Solution

    |

  9. Find the values of x in (-pi,pi) which satisfy the equation 8^(1+|cosx...

    Text Solution

    |

  10. If one G.M., G and two A.M.\'s p and q be inserted between two given q...

    Text Solution

    |

  11. the sum of three numbers in G.P. is 56. If we subtract 1,7,21 from the...

    Text Solution

    |

  12. Let a, b be the roots of the equation x^(2) - 4 x k(1) = 0 and c ,...

    Text Solution

    |

  13. If a ,b ,c are three distinct real numbers in G.P. and a+b+c=x b , the...

    Text Solution

    |

  14. Sum of the series 1+2.2+3.2^2 +4.2^3+.....+100.2^99 is

    Text Solution

    |

  15. If 3+1/4(3+p)+1/(4^2)(3+2p)+... + oo=8, then p

    Text Solution

    |

  16. The value of 2^(1/4).4^(1/8).8^(1/16),,,,,,,oo is equal to.

    Text Solution

    |

  17. Let S denotes the infinite sum 2 + 5x + 9x^(2) + 14x^(3) + 2x^(4) ...

    Text Solution

    |

  18. The value of x + y + z is 15 if a, x, y, z, b are in A.P. while t...

    Text Solution

    |

  19. If x , y, z are positive reals satisfying 4xy + 6yz + 8 zx = 9 , ...

    Text Solution

    |

  20. (p)/(q) + (q)/(p) = (c)/(a) - (a)/(c)

    Text Solution

    |