Home
Class 11
MATHS
Find the condition that the equation x^3...

Find the condition that the equation `x^3 + bx^2 + cx +d =0` may have two roots equal but of opposite sign.

Promotional Banner

Topper's Solved these Questions

  • Model Test Set - 10

    UNITED BOOK HOUSE|Exercise Exercise |41 Videos
  • Model Test Set - 5

    UNITED BOOK HOUSE|Exercise Exercise|43 Videos

Similar Questions

Explore conceptually related problems

Find the condition that the equation x^3 - px^2 + qx -x = 0 should have its roots in G.P.

Find the condition if the equation 3x^2+4a x+b=0 has at least one root in (0,1)dot

Find the condition so that the roots of the equation lx^2+mx+n=0 are equal is magnitude and opposite in signs

Find the condition so that the roots of the equation a/(x-a)+b/(x-b)=5 may be equal in magnitude but oppsite in signs.

Find the condition if equations ax^2+bx+c =0 and x^2+2x+3 =0 have a common root. (a,b,cinR)

Find the roots of the equation of the polynomial p(x) = cx + d.

Find the condition such that the quadratic equations ax^2+bx+c =0 and x^2/a+x/b+1/c =0 have exactly one root in common.

If the roots alpha and beta of the quadratic equation ax^2+bx+c =0 are real and of opposite sign.then show that roots of the equation alpha(x-beta)^2+beta(x-alpha)^2 =0 are also real and of opposite sign.

Find the condition for which the quadratic equation ax^2+bx+c=0 has exactly one zero root.

Find the condition for which the roots of the quadratic equation ax^2+bx+c=0(ane0) are both positive

UNITED BOOK HOUSE-Model Test Set - 4-Exercise
  1. For any two events A1 and A2, show that P(A1 cap A2)lemin{P(A1),P(A2)...

    Text Solution

    |

  2. Show that if events A and B are independent, then so are A^c and B^c.

    Text Solution

    |

  3. In a group of 20 males and 5 females, 10 males and 3 females ae servic...

    Text Solution

    |

  4. The first two moments of a distribution about the value 5 are 3 and 25...

    Text Solution

    |

  5. What are the principal characteristics of an ideal average?

    Text Solution

    |

  6. If A.M and G.M of two positive real numbers are 25 and 15 respectively...

    Text Solution

    |

  7. Find the condition that the equation x^3 + bx^2 + cx +d =0 may have tw...

    Text Solution

    |

  8. If f(x) = 6x^3 + 4x^2 + 3x +2, find the values of f(-1), f (1/3) and f...

    Text Solution

    |

  9. Prove that logn(n + 1) > log(n + 1) (n + 2), for n > 1.

    Text Solution

    |

  10. Write the axiomatic definition of probability?

    Text Solution

    |

  11. A picnic is arranged to be held on a particular day. The weather forec...

    Text Solution

    |

  12. State and prove the theorem of compound probability.

    Text Solution

    |

  13. What do you mean by purchasing power of money?

    Text Solution

    |

  14. What do you mean by diagrammatic representation of data. Also write it...

    Text Solution

    |

  15. Write a short note on measures of central tendency.

    Text Solution

    |

  16. The first three moments of a distribution about the value 3 of a varia...

    Text Solution

    |

  17. Three boxes of the same appearance have the following proportions of b...

    Text Solution

    |

  18. Three boxes of the same appearance have the following proportions of b...

    Text Solution

    |

  19. For any two events A and B, show that max {P(A),P(B)} le P(A cup B) ...

    Text Solution

    |

  20. What is Life table?

    Text Solution

    |