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

IF `alpha , beta ` are the roots of the equation `ax^2+ bx +c=0`then the quadratic equation whose roots are `alpha + beta , alpha beta ` is

A

`a^(2)x^(2)+a(b-c)x+bc=0`

B

`a^(2)x^(2)+a(b-c)x-bc=0`

C

`a^(2)x^(2)+(b+c)x+bc=0`

D

`a^(2)x^(2)-(b+c)x+bc=0`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS & EXPRESSIONS

    AAKASH SERIES|Exercise EXERCISE-II|121 Videos
  • QUADRATIC EQUATIONS & EXPRESSIONS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|88 Videos
  • QUADRATIC EQUATIONS & EXPRESSIONS

    AAKASH SERIES|Exercise ADDITIONAL EXERCISE|10 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 alpha " and "beta are the roots of the equation x^(2)-4x+5=0 then thequadratic equation whose roots are alpha^(2)+beta "and" alpha+beta^(2) is

If alpha, beta are the roots of the quadratic equation ax^(2) + bx + c = 0 then form the quadratic equation whose roots are palpha, pbeta where p is a real number.

If alpha, beta are the roots of the quadratic equation ax^(2)+bx+c=0, form a quadratic equation whose roots are alpha^(2)+beta^(2) and alpha^(-2) + beta^(-2) .

If alpha , beta , gamma are the roots of the equation x^3 +px^2 + qx +r=0 then the coefficient of x in cubic equation whose roots are alpha ( beta + gamma ) , beta ( gamma + alpha) and gamma ( alpha + beta) is

Let alpha and beta be the roots of the quadratic equation ax^(2)+bx+c=0, c ne 0, then form the quadratic equation whose roots are (1-alpha)/(alpha) and (1-beta)/(beta) .

If alpha, beta are the roots of x^(2) - x + 1 = 0 then the quadratic equation whose roots are alpha^(2015), beta^(2015) is

IF alpha , beta are the roots of the equation x^2+2ax +b=0 , then the quadratic equation with rational coefficient one of whose roots is alpha + beta + sqrt(alpha ^2+ beta ^2) is

AAKASH SERIES-QUADRATIC EQUATIONS & EXPRESSIONS-EXERCISE-I
  1. If sin theta, cos theta are the roots of 6x^(2)-px+1=0, then p^(2) =

    Text Solution

    |

  2. Which of the following statements are correct E(1)) If a + b + c = 0...

    Text Solution

    |

  3. IF alpha , beta are the roots of the equation ax^2+ bx +c=0the...

    Text Solution

    |

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

    Text Solution

    |

  5. the equation formed by decreasing each root of ax ^2 +bx+C=0 by...

    Text Solution

    |

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

    Text Solution

    |

  7. If alpha, beta are the roots of x^(2)+6x+9=0, then the equation whose ...

    Text Solution

    |

  8. The equation whose roots are 'K' times the roots of the equation ax^(2...

    Text Solution

    |

  9. If alpha, beta be the roots of the equation ax^(2)+bx+c=0, then the ro...

    Text Solution

    |

  10. If alpha, beta are the roots of x^(2)+2x+5=0, then the equation whose ...

    Text Solution

    |

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

    Text Solution

    |

  12. If one root of x^(2)+kx+27=0 may be triple the other, then k=

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  15. The quadratic equation with rational coefficients whose one root is 3+...

    Text Solution

    |

  16. If 3+4i is a root of equation x^(2)+px+q=0 where p, q in R then

    Text Solution

    |

  17. The quadratic equation whose one root is (-3+I sqrt7)/(4) is

    Text Solution

    |

  18. If the roots of x^(2)-2(7+3m)x+55m+45=0, are equal, then m =

    Text Solution

    |

  19. The roots of the equation x^(2)-2sqrt3 x+3=0 are

    Text Solution

    |

  20. IF the roots of the equation x^2+a^2 =8x + 6a are real , then...

    Text Solution

    |