Home
Class 12
MATHS
Let a,b, and c be three real numbers sat...

Let a,b, and c be three real numbers satistying `[a,b,c][(1,9,7),(8,2,7),(7,3,7)]=[0,0,0]`Let b=6, with a and c satisfying (E). If alpha and beta are the roots of the quadratic equation `ax^2+bx+c=0 then sum_(n=0)^oo (1/alpha+1/beta)^n` is (A) 6 (B) 7 (C) `6/7` (D) oo

A

6

B

7

C

`6//7`

D

`oo`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBER

    MOTION|Exercise EXERCISE - 4 (LEVEL -I) PREVIOUS YEAR - JEE MAIN|12 Videos

  • CIRCLE

    MOTION|Exercise Exercise - 4 | Level - II (Previous Year | JEE Advanced|22 Videos

  • CONTINUITY

    MOTION|Exercise EXERCISE - 4 (LEVEL -II) (PREVIOUS YEAR JEE ADVANCED)|5 Videos

Similar Questions

Explore conceptually related problems

Let b=6 ,with a and c satisfying the equation (a+b+c)^(2)+(a+8b+7c)^(2)=0 .If alpha and beta are the roots of the quadratic equation ax^(2)+bx+c=0 ,then sum_(n=0)^(oo)((1)/(alpha)+(1)/(beta))^(n)

Let b=6 ,with a and c satisfying the equation (a+b+c)^(2)+(a+8b+7c)^(2)=0 . If alpha and beta are the roots of the quadratic equation ax^(2)+bx+c=0 , then sum_(n=0)^(oo)((1)/(alpha)+(1)/(beta))^(n)

If alpha and beta ( alpha

MOTION-COMPLEX NUMBER -EXERCISE - 4 (LEVEL -II) PREVIOUS YEAR - JEE ADVANCED
  1. Match the statement in Column I with those in Column II. [Note : He...

    Text Solution

    |

  2. Let a, b and c be three real numbers satisfying [a" "b" "c][[1,9,7],[...

    Text Solution

    |

  3. Let omega be the solution of x^(3)-1=0 with "Im"(omega) gt 0. If a=2 w...

    Text Solution

    |

  4. Let a,b, and c be three real numbers satistying [a,b,c][(1,9,7),(8,2,7...

    Text Solution

    |

  5. If z is any complex number satisfying abs(z-3-2i) le 2, where i=sqrt(-...

    Text Solution

    |

  6. Let omega!=1 be cube root of unity and S be the set of all non-singula...

    Text Solution

    |

  7. Let omega= e^((ipi)/3) and a, b, c, x, y, z be non-zero complex numb...

    Text Solution

    |

  8. Let z be a complex number such that the imaginary part of z is nonzero...

    Text Solution

    |

  9. Let complex numbers alpha " and " (1)/(bar alpha) lies on circles (...

    Text Solution

    |

  10. Let w = (sqrt 3 + iota/2) and P = { w^n : n = 1,2,3, ..... }, Further ...

    Text Solution

    |

  11. Let omega be a complex cube root of unity with omegane1 and P = [pij]...

    Text Solution

    |

  12. Let S=S1 nn S2 nn S3, where s1={z in C :|z|<4}, S2={z in C :ln[(z-...

    Text Solution

    |

  13. Let S=S1 nn S2 nn S3, where s1={z in C :|z|<4}, S2={z in C :ln[(z-...

    Text Solution

    |

  14. Let zk=cos((2kpi)/(10))+isin ((2kpi)/10),k=1,2,......9 {:("List I","...

    Text Solution

    |

  15. For any integer k , let alphak=cos(kpi)/7+isin(kpi)/7,w h e r e i=sqrt...

    Text Solution

    |

  16. Let a,b in R and a^(2) + b^(2) ne 0 . Suppose S = { z in C: z = (1...

    Text Solution

    |

  17. Let P=[{:((-z)^r,z^(2r)),(z^(2r),z^r):}] and Ibe the identity matrix o...

    Text Solution

    |

  18. Let a , b ,xa n dy be real numbers such that a-b=1a n dy!=0. If the co...

    Text Solution

    |

  19. Let s ,\ t ,\ r be non-zero complex numbers and L be the set of ...

    Text Solution

    |

  20. For a non-zero complex number z , let arg(z) denote the principal ar...

    Text Solution

    |