Home
Class 11
MATHS
If the roots of the equation 6x^3-11x^2+...

If the roots of the equation `6x^3-11x^2+6x-1`=0 are in H.P., then the roots are

A

1,1/2,1/3

B

1/2,1/3,1/4

C

1/3,1/4,1/5

D

1/4,1/5,1/6

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATION

    PATHFINDER|Exercise QUESTION BANK|19 Videos
  • RECTANGULAR CO-ORDINATES

    PATHFINDER|Exercise QUESTION BANK|27 Videos

Similar Questions

Explore conceptually related problems

If the roots of the equation x^3+P x^2+Q x-19=0 are each one more that the roots of the equation x^3-A x^2+B x-C=0,w h e r eA ,B ,C ,P ,a n dQ are constants, then find the value of A+B+Cdot

The roots of the equation x^(2)+x-6=0 are

Sum of the roots of equation x^2-6x+2=0 is

If p and q are the roots of the equation 3x^2+6x+2=0 , show that the equation whose roots are (-p^2/q) and (-q^2/p) is 3x^2-18x+2=0 .

If the roots of the equation x^2-6x+6=0 are a and b then find the value of 2(a^2+b^2) .

The roots of the quadratic equation 2x^2+3x+1 =0 are

If the ratio of the roots of the equation x^2+p x+q=0 are equal to ratio of the roots of the equation x^2+b x+c=0 , then prove that p^2c=b^2qdot

If alpha,beta are the roots of lthe equation 2x ^2-3x-6=0, find the equation whose roots are alpha^2+2 and beta^2+2.

If one of the root of the equation x^2-(2+b)x+6=0 is 2, then find its other root.

If x_(1) , x_(2) and x_(3) are the positive roots of the equation x^(3)-6x^(2)+3px-2p=0 , p inR , then the value of sin^(-1)((1)/(x_(1))+(1)/(x_(2)))+cos^(-1)((1)/(x_(2))+(1)/(x_(3)))-tan^(-1)((1)/(x_(3))+(1)/(x_(1))) is equal to

PATHFINDER-QUADRATIC EQUATION AND EXPRESSION-QUESTION BANK
  1. If f(x) = g(x)^3+xh(x)^3 is divisible by x^2+x+1, then

    Text Solution

    |

  2. If the roots of the equation a(b-c)x^2+b(c-a)x+c(a-b)=0 are equal,the...

    Text Solution

    |

  3. If the roots of the equation 6x^3-11x^2+6x-1=0 are in H.P., then the r...

    Text Solution

    |

  4. A value of b for which the equations x^2+bx-1=0, x^2+x+b =0 have one r...

    Text Solution

    |

  5. If a,b,c are in G.P., then the equations ax^2+2bx+c =0 and dx^2+2ex+f ...

    Text Solution

    |

  6. In what interval 'm' must lie so that the root of the equation x^2-2mx...

    Text Solution

    |

  7. The necessary and sufficient condition for the equation (1-a^2)x^2+2ax...

    Text Solution

    |

  8. For all 'x', x^2+2ax+(10-3a)gt0, then the interval .In which 'a' lies ...

    Text Solution

    |

  9. The maximum value of 2-3x-4x^2

    Text Solution

    |

  10. Number of solution of equation sin^(-1)x+cos^(-1)(x^2)=pi/2

    Text Solution

    |

  11. The equation sqrt(x+1)-sqrt(x-1)=sqrt(4x-1) has

    Text Solution

    |

  12. Solve x^[[3/4(log2 x)^2+log2 x-5/4]] = sqrt2

    Text Solution

    |

  13. x.[x],{x} are in G.P. then x equals

    Text Solution

    |

  14. The roots of the equation x^sqrtx=sqrt(x^x) are

    Text Solution

    |

  15. The number of real solution of the equation e^x=x is

    Text Solution

    |

  16. Let f(x) =x^2+bx+c, where b,c inR. If f(x) is a factor of both x^4+6x^...

    Text Solution

    |

  17. Find the remainder when the polynomial is divided by (x-1)(x-2), if it...

    Text Solution

    |

  18. If f(x)=x-[x],x(phi0)inR, where [x] is greatest integer less than or e...

    Text Solution

    |

  19. The inequation 3^72(1/3)^x(1/3)^sqrtxgt1 for all x belongs to

    Text Solution

    |

  20. If f(x) =x^2+2bx+2c^2, g(x)=-x^2-2cx+b^2, such that min f(x)gytmaxg(x)...

    Text Solution

    |