Home
Class 12
MATHS
If alpha , beta are roots of 375x^(2) - ...

If `alpha , beta `are roots of 375`x^(2) - 25x - 2 = 0 and s_(n) = alpha^(n) + beta^(n)` ,
then `underset(n rarr infty)(lim) sum_(r= 1)^(n) s_(r)` is :

A

`(7)/(116)`

B

`(1)/(12)`

C

`(29)/(358)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS

    MODERN PUBLICATION|Exercise LATEST QUESTIONS FROM AIEEE/JEE EXAMINATIONS|13 Videos
  • QUADRATIC EQUATIONS

    MODERN PUBLICATION|Exercise LATEST QUESTIONS FROM AIEEE/JEE EXAMINATIONS|13 Videos
  • PROBABILITY

    MODERN PUBLICATION|Exercise RECENT COMPETITIVE QUESTIONS (QUESTIONS FROM KARNATAKA CET & COMED )|11 Videos
  • REAL NUMBERS

    MODERN PUBLICATION|Exercise Multiple Choice Questions (Level-II)|8 Videos

Similar Questions

Explore conceptually related problems

If alpha, beta are roots of 375x^(2) - 25x - 2 = 0 and s_(n) = alpha^(n) + beta^(n), then underset(n rarr infty) sum_(r = 1)^(n) S_(r) is :

If alpha, beta are the roots of x^(2)-a x+b=0 and A_(n)='alpha'^(n)+beta^(n) , then A_(n+1)=

If alpha and beta are roots of the equation x^(2) + x + 1 = 0, then alpha^(2) + beta^(2) is

If alpha, beta are the roots of a x^(2)+b x+c=0 and A_(n)=alpha^(n)+beta^(n) , then, a A_(n+2)+b A_(n+1)+c A_(n)=

lim_(n rarr oo) (1)/(n^(3)) sum_(r = 1)^(n) r^(2) is :

lim_(n rarr oo) sum_(r=0)^(n-1) 1/(n+r) =

If alpha and beta are the roots of x^(2)+x+1=0 , then alpha^(16)+beta^(16)=

lim_(x rarr oo) (1)/(n^(4)) sum_(r = 1)^(n) r^(3) is :

MODERN PUBLICATION-QUADRATIC EQUATIONS -MULTIPLE CHOICE QUESTIONS (LEVEL-II)
  1. If a + b + c = 0 , then the equation equation : 3ax^(2) + 2bx + c = ...

    Text Solution

    |

  2. If alpha, beta are the roots of ax^(2) - 26x + c = 0, then alpha^(3...

    Text Solution

    |

  3. If alpha , beta are roots of 375x^(2) - 25x - 2 = 0 and s(n) = alpha^...

    Text Solution

    |

  4. A quadratic equation whose roots are ((gamma)/(alpha))^(2) and ((beta...

    Text Solution

    |

  5. If alpha, beta are the roots of lambda(x^(2)+x)+x+5=0 and lambda(1), l...

    Text Solution

    |

  6. The least integer satisfying : 49.4 - ((27 - x)/(10)) lt 47.4 - ((2...

    Text Solution

    |

  7. If the equation ax^(2) + 2bx - 3c = 0 has non-real roots and ((3c)/(4)...

    Text Solution

    |

  8. Let a, b, c be positive real numbers. The following system of equation...

    Text Solution

    |

  9. If f (x) = x - [x], x (ne 0 ) in R, where [x] is the greatest integer ...

    Text Solution

    |

  10. The real values of x for which 3^(72) ((1)/(3))^(x) ((1)/(3))^(sqrt(x)...

    Text Solution

    |

  11. If the ratio of the roots of a(1)x^(2) + b(1) x + c(1) = 0 be equal ...

    Text Solution

    |

  12. If the product of the roots of the equation x^(2) - 3kx + 2e^(2 log k)...

    Text Solution

    |

  13. If a + b + c = 0, then x^((a^(2))/(bc)), x^((b^(2))/(ca)) , x((c^(2))/...

    Text Solution

    |

  14. The equation ax^(2) + bx + c = 0 , where a, b,c are real number conne...

    Text Solution

    |

  15. If 3p^(2) = 5p + 2 and 3q^(2) = 5q + 2, where p ne q , then the equati...

    Text Solution

    |

  16. If P(x) = ax^(2) + bx + c and Q(x) = -ax^(2) + dx + c, where ac ne 0 ...

    Text Solution

    |

  17. If one root of the ax^(2) + bx + c = 0 is equal to nth power of the o...

    Text Solution

    |

  18. The number of real solutions of the equation : | x^(2) + 4x + 3 | + ...

    Text Solution

    |

  19. Let p, p ne { 1,2,3,4}. The number of equations of the form px^(2) + q...

    Text Solution

    |

  20. A quadratic equation whose roots are ((gamma)/(alpha))^(2) and ((beta...

    Text Solution

    |