Home
Class 12
MATHS
If m is chosen in the quadratic equation...

If m is chosen in the quadratic equation `(m^(2)+1)x^(2)-3x+(m^(2)+1)^(2)=0` such that the sum of its roots is greatest, then the absolute difference of the cubes of its roots is

A

`10 sqrt(5)`

B

`8 sqrt(3)`

C

`8 sqrt(5)`

D

`4 sqrt(3)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS

    MCGROW HILL PUBLICATION|Exercise Questions from previous Years. B - architecture entrance examination papers|16 Videos

  • QUADRATIC EQUATIONS

    MCGROW HILL PUBLICATION|Exercise Exercise ( Level 2 (Numerical answer type questions))|19 Videos

  • PROGRESSIONS

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers|25 Videos

  • SETS, RELATIONS AND FUNCTIONS

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEAR.S B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|19 Videos

Similar Questions

Explore conceptually related problems

Find m, if the quadratic equation x^2-2(m+1)x+m^2=0

The quadratic equation x^(2) - (m -3)x + m =0 has

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

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

Find m, if the quadratic equation (m-12)x^(2)+2(m-12)x+2=0 has real and eqaul roots.

Find m, if the quadratic equation (m-1)x^2-2(m-1)x+1=0 has real and equal roots.

Find m, if the quadratic equation (m-1)x^2-2(m-1)x+1=0 has real and equal roots.

If the Quadratic Equation x^(2)-2(m-2)x+m^(2)-3=0 has both roots negative then range of 'm' is

If the Quadratic Equation x^(2)-2(m-2)x+m^(2)-3=0 has both roots negative then range of m is

In the quadratic equation 2x^(2)+3x+1=0 then sum of the roots is

MCGROW HILL PUBLICATION-QUADRATIC EQUATIONS-Questions from Previous Years. AIEEE/JEE main papers
  1. The sum of all the real values of x satisfying the equation 2^((x-1)(x...

    Text Solution

    |

  2. If alpha, beta in C are the distinct roots of the equation x^(2)-x+1=0...

    Text Solution

    |

  3. v22

    Text Solution

    |

  4. Let p,q and r be real number (p ne q, r ne 0) such that the roots of ...

    Text Solution

    |

  5. If f(x) is a quadratic expression such that f(1) + f(2) = 0, and -1 is...

    Text Solution

    |

  6. Let alpha and beta be two roots of the equation x^(2) + 2x + 2 = 0. Th...

    Text Solution

    |

  7. If both the roots of the quadratic equation x^(2) - mx + 4 = 0 are rea...

    Text Solution

    |

  8. The number of all possible positive integral values of alpha for whic...

    Text Solution

    |

  9. Consider the quadratic equation (c - 5)x^(2) - 2cx + (c - 4) = 0, c ne...

    Text Solution

    |

  10. The values of lambda such that sum of the squares of the roots of the ...

    Text Solution

    |

  11. If one real root of the quadratic equation 81x^2 + kx + 256=0 is cu...

    Text Solution

    |

  12. If lambda be the ratio of the roots of the quadratic equation in x, 3m...

    Text Solution

    |

  13. The number of integral values of m for which the quadratic expression ...

    Text Solution

    |

  14. Let p, q in R. "If " 3 - sqrt(3) is a root of the quadratic equation ...

    Text Solution

    |

  15. If m is chosen in the quadratic equation (m^(2)+1)x^(2)-3x+(m^(2)+1)^(...

    Text Solution

    |

  16. If alpha and beta the rots of the quadratic equation, x^(2)+x sintheta...

    Text Solution

    |

  17. The number of real roots of the equation 5+|2^(x)-1|=2^(x)(2^(x)-2)i...

    Text Solution

    |

  18. If alpha, beta and gamma are three consecutive terms of a non-constant...

    Text Solution

    |

  19. If alpha and beta be the roots of the equation x^(2)-2x+2=0, then the ...

    Text Solution

    |

  20. The number of integral values of m for which the equation (1+m^(2)) x^...

    Text Solution

    |