Home
Class 12
MATHS
alpha and beta are the roots of t...

` alpha ` and ` beta ` are the roots of the equation ` x^2 +px +p^3 =0,( p ne 0)`. If the point `( alpha , beta ) ` lies on the curve ` x= y^2 ` , then the roots of the given equaion are

A

`4,-2`

B

`4,2`

C

`1,-1`

D

`1,1`

Text Solution

Verified by Experts

The correct Answer is:
A
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 tan alpha , tan beta are the roots of the equation x^(2) + px+q=0(p ne 0) then

If alpha and beta are the roots of the equation x^2-2x+4=0, then alpha ^9 + beta ^9=

If alpha,beta are the roots of the equation x^(2) + Px + P^(3) = 0, P ne 0 such that alpha =beta^(2) then the roots of the given equation are

"If" alpha and beta are the roots of the quadratic equation 2x^(2) + 3x - 7 = 0 "then" (alpha^(2) + beta^(2))/(alpha beta)=

IF alpha and beta be the roots of the equation x^2 +px -(1)/(2p ^(2))=0 where p in R , then the minimum value of alpha ^(4) + beta ^(4) =

If alpha, beta are the roots of the equation x^(2) + x + 1 = 0 then prove that alpha^(4) + beta^(4) + alpha^(-1) beta^(-1) = 0 .

Let alpha and beta be the roots of equation px^2 +qx+r =0 , p ne 0, if p,q, r are in A.P and (1)/ alpha +(1)/( beta ) =4 then the value of | alpha - beta | is

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

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

DIPTI PUBLICATION ( AP EAMET)-QUADRATIC EXPRESSIONS-EXERCISE 1A (QUADRATIC EQUATIONS)
  1. The number of solution of the equation 9x^2-18|x|+5=0 belonging...

    Text Solution

    |

  2. The number of solutions of the equation 5^x + 5^(-x)= log (10) 25...

    Text Solution

    |

  3. IF the equation ax+by=1, cx ^2 +dy^2 =1 have only one solution ...

    Text Solution

    |

  4. If a+b+c=0 then the quadratic equation 3ax^2+2bx+c=0 has at least one ...

    Text Solution

    |

  5. If 2a+3b+6c =0 then the equation ax ^2 + bx +c=0 has atlest one ...

    Text Solution

    |

  6. Let P(x) be a polynomial with integral coefficients . If there ...

    Text Solution

    |

  7. IF 0< a<b<c<d , then the quadratic j equation ax ^2 +[1-a(b+c)x+ab...

    Text Solution

    |

  8. alpha and beta are the roots of the equation x^2 +px +p^3 =0...

    Text Solution

    |

  9. Find all number which exceed their square root by 12

    Text Solution

    |

  10. The two consecutive positive odd integers such that the sum o...

    Text Solution

    |

  11. Find two consecutive positive even integers, the sum of whose squares ...

    Text Solution

    |

  12. The number having two digits such that it is 4 times the sum...

    Text Solution

    |

  13. A number of two digit s whose product is 30 . If the digits are ...

    Text Solution

    |

  14. The sum of the ages of a father and a son is 45 years . Fi...

    Text Solution

    |

  15. The cost of a piece of cable wire is Rs. 35/-, If the length of the pi...

    Text Solution

    |

  16. One fourth of a herd of goats was seen in the forest. Twice the square...

    Text Solution

    |

  17. In the interior of a forest there are some apes . Of their tot...

    Text Solution

    |

  18. In a cricket match Anil took one wicket less than twice the number of ...

    Text Solution

    |

  19. Some points on a plane are marked and they are connected pair w...

    Text Solution

    |

  20. The sides of a right angled triangle containing the right angle...

    Text Solution

    |