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

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 EXPRESSIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1B (QUADRATIC EXPRESSIONS)|106 Videos

  • QUADRATIC EXPRESSIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 ( SPECIAL TYPE QUESTIONOS ) ( SET -1)|4 Videos

  • QUADRATIC EXPRESSIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 ( SPECIAL TYPE QUESTIONOS ) ( SET -4)|4 Videos

  • PROPERTIES OF TRIANGLES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) Set-4|10 Videos

  • RELATIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise Exercise|49 Videos

Similar Questions

Explore conceptually related problems

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

IF one root of x^2-x-k=0 is square that of the other, then k=………

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

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) - (p - 1) x + 10 = 0 is 5 then p =

The condition for one root of x^3+ax^2+bx+c=0 is sum of the other two roots , is

DIPTI PUBLICATION ( AP EAMET)-QUADRATIC EXPRESSIONS-EXERCISE 1A (QUADRATIC EQUATIONS)
  1. In a triangle PQR angle R=pi //2 if tan (p//2) and tan ( Q//2)...

    Text Solution

    |

  2. In a triangle PQR angle R=(pi)/(4), if tan (p/3) and tan ((Q)/...

    Text Solution

    |

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

    Text Solution

    |

  4. IF one root of ax ^2 +bx +c=0 is equal to nth power of the othe...

    Text Solution

    |

  5. IF x,a,b,c are real and (x-a+b^2)+(x-b+c)^2=0 then a,b,c are in

    Text Solution

    |

  6. IF the roots of (1) /(x +a) + (1)/(x +b)=(1)/(c ) are equal in ...

    Text Solution

    |

  7. IF the roots of the equation (1)/(x+p) +(1)/(x+q) =(1)/(r ) are ...

    Text Solution

    |

  8. IF (1)/(x) +(1)/(x+a) =(1)/(m)+(1)/(m+a) has roots equal in magnit...

    Text Solution

    |

  9. IF the roots of a^2x^2-abx +c=0 are consecutive integers , then ...

    Text Solution

    |

  10. If r is the ratio of the roots of ax ^2 + bx +C=0 then ((r +1)^2)...

    Text Solution

    |

  11. IF the roots of ax^2 +bx +c=0 are of the form (m+1)/(m ) ,(m+2)/...

    Text Solution

    |

  12. IF (a alpha + b )^(-2)+ ( abeta + b)^(-2) =1 , where alpha , b...

    Text Solution

    |

  13. IF the equation x^2 +2(k+1)x+9k-5=0 has only negative roots , th...

    Text Solution

    |

  14. All the values of m for which both roots of the equation x^2-...

    Text Solution

    |

  15. The values of a for which of a for which 2x^2-2(2a +1)x+a(a+1) =...

    Text Solution

    |

  16. The value of a for which the equation (1-a ^2)x^2+2ax -1 has roo...

    Text Solution

    |

  17. The value of a for which each one of the roots of x^2-4ax+2a^...

    Text Solution

    |

  18. The value of 'a' for which one root of the quadratric equation ...

    Text Solution

    |

  19. IF both the roots of the quadratic equation x^2-2kx+k^2 +k -5=0 a...

    Text Solution

    |

  20. If roots of the equation x^2-bx +c=0 be two consecutive intege...

    Text Solution

    |