Home
Class 12
MATHS
If x^(4) + px^(3) + rx + s^(2) is a perf...

If `x^(4) + px^(3) + rx + s^(2)` is a perfect square then `p^(3) + `8r =

A

1

B

0

C

2

D

`-1`

Text Solution

Verified by Experts

The correct Answer is:
2
Promotional Banner

Topper's Solved these Questions

  • THEORY OF EQUATIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1B|76 Videos

  • THEORY OF EQUATIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) SET -1|5 Videos

  • THEORY OF EQUATIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise SET - 4|4 Videos

  • THEORETICAL DISTRIBUTIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) CHOOSE THE CORRECT ANSWER FROM THE ALTERNATIVES 1.2.3 OR 4 GIVEN (SET -4)|5 Videos

  • TRANSFORMATION OF AXES

    DIPTI PUBLICATION ( AP EAMET)|Exercise SET-4|3 Videos

Similar Questions

Explore conceptually related problems

If x^(4) + px^(3) + rx + s^(2) is a perfect square then ps =

If alpha, beta, gamma, delta are roots of x^(4) + px^(3) + qx^(2) + rx + s = 0 then sum alpha^(2) beta =

If alpha, beta, gamma, delta are roots of x^(4) + px^(3) + qx^(2) + rx + s = 0 then sum alpha^(2) beta gamma =

If the quadratic expression x^2 -(a-1) x+ (a+ (1)/(4) ) will be a perfect square then a=

If P (n) = 1+2+3+ …. + n is a perfect square N^(2) and N is less than 100 , then possible values of n are

If 8x^(4) - 2x^(3) - 27x^(2) + 6x + 9 = 0 then s_(1), s_(2), s_(3) , s_(4) are

If zeros of polynomial f(x0 = x^(3) - 3px^(2)+qx-r are in AP then 2p^(3) = ………..

If alpha, beta are the real roots of x^(2) + px + q= 0 and alpha^(4), beta^(4) are the roots of x^(2) - rx + s = 0 , then the equation x^(2) - 4 q x + 2q^(2) - r = 0 has always

DIPTI PUBLICATION ( AP EAMET)-THEORY OF EQUATIONS-EXERCISE 1A
  1. The condition that the product of two of the roots x^3 +px^2 +qx ...

    Text Solution

    |

  2. If the product of two of the roots of x^(3) + kx^(2) - 3x + 4 = 0 may ...

    Text Solution

    |

  3. If x^(4) + px^(3) + rx + s^(2) is a perfect square then p^(3) + 8r =

    Text Solution

    |

  4. If x^(4) + px^(3) + rx + s^(2) is a perfect square then ps =

    Text Solution

    |

  5. If -1, 2 ,alpha are roots of 2x^(3) + x^(2) - 7x - 6 = 0 then alpha =

    Text Solution

    |

  6. If 1, -2, 3 are roots of x^(3) - 2x^(2) + ax + 6 = 0 then a =

    Text Solution

    |

  7. If alpha,beta and 1 are the roots of x^3-2x^2-5x+6=0 then (alpha,beta)...

    Text Solution

    |

  8. If the product of the roots of 4x^3+16x^2-9xa=0 is 9 , then find a .

    Text Solution

    |

  9. If x^(3) - x^(2) + 33x + 5 = 0 then s(1), s(2) , s(3) are

    Text Solution

    |

  10. If x^(4) -16x^(3) + 86x^(2) - 17x + 105 = 0 then s(1), s(2) , s(3), s...

    Text Solution

    |

  11. If 8x^(4) - 2x^(3) - 27x^(2) + 6x + 9 = 0 then s(1), s(2), s(3) , s(4)...

    Text Solution

    |

  12. If alpha, beta, gamma are the roots of x^(3) - 3x + 7 = 0 then alpha +...

    Text Solution

    |

  13. If alpha, beta, gamma are the roots of x^(3) - 3x + 7 = 0 then alpha b...

    Text Solution

    |

  14. If alpha,beta, gamma are the roots of 4x^(3) - 6x^(2) + 7x + 3 = 0 th...

    Text Solution

    |

  15. If alpha, beta , gamma are roots of x^(3) + 2x^(2) - 1 = 0 then (1)/(...

    Text Solution

    |

  16. If alpha, beta ,gamma are the roots of 2x^(3) - 5x^(2) + 3x - 1 = 0 t...

    Text Solution

    |

  17. If alpha, beta, gamma are the roiots of x^(3) - 10x^(2) +6x - 8 = 0 t...

    Text Solution

    |

  18. If alpha, beta , gamma are the roots of x^(3) - px^(2) + qx - r = 0 ...

    Text Solution

    |

  19. If alpha, beta, gamma are the roots of x^(3) + x^(2) + x + 1 = 0 then ...

    Text Solution

    |

  20. If alpha, beta ,gamma are the roots of x^(3) + x^(2) + x + 1 = 0 then ...

    Text Solution

    |