Home
Class 12
MATHS
If one root of x^(2) + px + 1 = 0 is the...

If one root of `x^(2) + px + 1 = 0` is the cube of the other root then p =

A

0

B

1

C

`1, +-2`

D

`0, +-2`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS & EXPRESSIONS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|88 Videos

  • QUADRATIC EQUATIONS & EXPRESSIONS

    AAKASH SERIES|Exercise EXERCISE-I|56 Videos

  • PROBABILITY

    AAKASH SERIES|Exercise Practise Exercise|165 Videos

  • RANDOM VARIABLE

    AAKASH SERIES|Exercise PRACTICE EXERCISE|34 Videos

Similar Questions

Explore conceptually related problems

If one root of x^(2) - (p - 1) x + 10 = 0 is 5 then p =

If one root of 24x^(3) - 14x^(2) - 63x + 45 = 0 is the double the other then the roots are

If one root of x^2+px+1=0 is square that of the other thenp=

If one root of x^(2)+px+q=0 may be the square pf the other, then p^(3)+q^(2)+q =

If one root of x^(3) + 3x^(2) + 5x + k = 0 may be the sum of the other two roots then k =

IF one root of px^2-14 x + 8 =0 is six times the other then p=

If the ratio of the roots of x^(2) + bx + c = 0 is equal to the ratio of the roots of x^(2)+px+q=0 , then p^(2)c-b^(2)q=

The condition to be satisfied in order that one root of x^(3)+bx^(2)+cx+d=0 is the sum of the other two roots is

AAKASH SERIES-QUADRATIC EQUATIONS & EXPRESSIONS-EXERCISE-II
  1. If the ratio of the roots of the equation ax^(2)+bx+c=0 is m: n then

    Text Solution

    |

  2. If alpha,beta are the roots of the equation x^(2) + Px + P^(3) = 0, P ...

    Text Solution

    |

  3. If one root of x^(2) + px + 1 = 0 is the cube of the other root then p...

    Text Solution

    |

  4. If 3+4i is a root of the equation ax^(2)+bx+c= 0 where a, b, c in R th...

    Text Solution

    |

  5. Assertion (A) : If one root of x^(2)- (3+2i)x+ (1 + 3i) = 0 is 2+ i t...

    Text Solution

    |

  6. IF alpha , beta are the roots of the equation x^2+2ax +b=0 , the...

    Text Solution

    |

  7. If x^(2)+px+q=0 has roots 2i + 3, 2i–3 then the discriminant of the e...

    Text Solution

    |

  8. The quadratic equation whose one root is (3+sqrt(5))/(2-sqrt(5)) is

    Text Solution

    |

  9. If p(q-r)x^(2) + q(r-p) x+ r(p-q) = 0 has equal roots, then (2)/(q)=

    Text Solution

    |

  10. Assertion (A): If the roots of (a^(2)+b^(2))x^(2)-2b(a+c)x+ (b^(2)+c^(...

    Text Solution

    |

  11. If one root of the equation x^(2) + px + 12 = 0 is 4, while the equati...

    Text Solution

    |

  12. The roots of (x-b)(x-c) +(x-a)(x-c) +(x-a) (x-b)=0 are

    Text Solution

    |

  13. If the quadratic expression x^(2)-(a-1)x+(a+(1)/(4)) were to be a per...

    Text Solution

    |

  14. If 0 gt a gt b gt c and the roots alpha, beta are imaginary roots of ...

    Text Solution

    |

  15. For a, b, c in Q and b + c ne a, the roots of ax^(2)-(a+b+c)x+(b+c)=0

    Text Solution

    |

  16. For a, b, c in R and a, b, c are different, then the roots of (x+a)(x+...

    Text Solution

    |

  17. If a, b, c are real then (b-x)^(2)-4(a-x) (c-x)=0 will have always roo...

    Text Solution

    |

  18. If a, b, c are all positive and in H.P., then the roots of ax^(2)+2bx+...

    Text Solution

    |

  19. The root of (x-a)(x-a-1)+(x-a-1)(x-a-2)+(x-a)(x-a-2)=0, a in R are alw...

    Text Solution

    |

  20. Let f(x)=x^(2)+ax+b, where a, b in R. If f(x)=0 has all its roots imag...

    Text Solution

    |