Home
Class 12
MATHS
If the roots of ax^(2) + bx + c = 0 are ...

If the roots of `ax^(2) + bx + c = 0` are 2, `(3)/(2)` then `(a+b+c)^(2)`

A

`(a^(2))/(2)`

B

`(a^(2))/(4)`

C

`(a^(2))/(8)`

D

`(a^(2))/(16)`

Text Solution

Verified by Experts

The correct Answer is:
B
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

Sum of the roots of ax^(2) + bx + c = 0 is..

Sum of the roots of bx^(2) + ax + c = 0 is

Product of the roots of ax^(2) + bx + c = 0 is…

If the roots ax^(2)+bx+c=0 are (3)/(2),(4)/(3) then (a+b+c)^(2) =

If a=c=4b , then the roots of ax ^(2) + 4 bx + c =0 are

If the roots of ax ^2 + bx +c=0 are both positve , then

Theorem : If the roots of ax^(2) + bx+c=0 are real and equal to alpha =(-b)/(2a) , then for alpha ne x in R, ax^(2) + bx+c and 'a' have the same sign.

AAKASH SERIES-QUADRATIC EQUATIONS & EXPRESSIONS-EXERCISE-II
  1. In a triangle PQR, /R= (pi)/(2) If tan(P/(2)) and tan(Q/(2))are the ro...

    Text Solution

    |

  2. If tan^(2)theta, sin^(2)theta are the roots of ax^(2)+bx+c=0 then b^(2...

    Text Solution

    |

  3. If the roots of ax^(2) + bx + c = 0 are 2, (3)/(2) then (a+b+c)^(2)

    Text Solution

    |

  4. If alpha, beta are the roots of x^(2) + x + 3=0 then 5alpha+alpha^(4...

    Text Solution

    |

  5. IF x^2-3x +2 is a factor of x ^4 -px^2 +q=0 then (p,q)=0

    Text Solution

    |

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

    Text Solution

    |

  7. If the arithmetic mean of the roots of quadratic equation is (8)/(5) a...

    Text Solution

    |

  8. The equation whose roots are the arthmatic mean and twice the ...

    Text Solution

    |

  9. If alpha, beta are the roots of the equation x^(2)+7x+12=0, then the e...

    Text Solution

    |

  10. If a(5+q^(2))+2bq+c=0 and a(5+r^(2))+2br+c=0 where a ne 0 then q + r =

    Text Solution

    |

  11. If alpha, beta are the roots of x^(2)-2x+4 = 0 and for any n in N, a...

    Text Solution

    |

  12. If A, B, C, D are the sum of the square of the roots of 2x^(2) + x- 3=...

    Text Solution

    |

  13. The equation formed by decreasing each root of ax^(2) + bx + c = 0 by ...

    Text Solution

    |

  14. alpha,beta are the real roots of ax^(2) + bx + c = 0 observe the follo...

    Text Solution

    |

  15. If x^(2) + px + q = 0 is the quadratic equation whose roots are a-2 an...

    Text Solution

    |

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

    Text Solution

    |

  17. If omega is an imaginary cube root of unity then the equation whose ro...

    Text Solution

    |

  18. The equation whose roots are half of roots of the equation 2x^(2) + 5x...

    Text Solution

    |

  19. Assertion (A) : If alpha, beta are the roots of ax^(2) + bx + c = 0 th...

    Text Solution

    |

  20. IF alpha and beta are the roots of the equation ax ^2+bx +C=...

    Text Solution

    |