Home
Class 10
MATHS
IF the sum of the roots of ax^2+bx+c=0 i...

IF the sum of the roots of `ax^2+bx+c=0` is equal to the sum of the squares of the roots, then……..

A

`b^2+ab=2ac`

B

`a^2+bc=2ab`

C

`c^2+ab=2bc`

D

None

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS

    VGS PUBLICATION-BRILLIANT|Exercise EXERCISE|270 Videos

  • REAL NUMBERS

    VGS PUBLICATION-BRILLIANT|Exercise EXERCISE|321 Videos

Similar Questions

Explore conceptually related problems

If the sum of the roots of x^(2) + bx + 1 = 0 , is equal to the sum of their squares, then b =

If the sum of the roots of ax^(2) + bx + c = 0 is equal to the sum of the reciprocals of their squares then bc^(2), ca^(2), ab^(2) are in

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

IF the sum of the roots of the quadratic equation ax ^2 + bx +c=0 is equal to sum of the square of their reciprocals then (b^2)/(ac) +(bc )/(a^2) =

If the sum of the roots of the quadratic equation ax^(2) + bx + c = 0 is equal to the sum of the squares of their reciprocals, then a/c, b/a and c/b are in

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

Find a quadratic equation for which the sum of the roots is 7 and the sum of the squares of the roots is 25.

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

VGS PUBLICATION-BRILLIANT-QUADRATIC EQUATIONS (MULTIPLE CHOICE QUESTION)-QUADRATIC EQUATIONS (MULTIPLE CHOICE QUESTION)
  1. 2x^2+3x-1=0 is a quadratic equation the roots are alpha,beta then alph...

    Text Solution

    |

  2. 3x^2-5x+2=0 is a quadratic equation the roots are alpha,beta then alph...

    Text Solution

    |

  3. x^2+px+q=0 is a quadratic equation, the roots are alpha,beta then alph...

    Text Solution

    |

  4. The quadratic equation whose roots are reciprocal of the roots of the ...

    Text Solution

    |

  5. IF a gt0 then the minimum value of 3x^2+4x+1 is…….

    Text Solution

    |

  6. If x gt 0, then the minimum value of 11/3+5(x-7/2)^2 is………

    Text Solution

    |

  7. Examine 3y^2-8xy-3x^2-29x+3y-18 is re-solvable into two linear factors...

    Text Solution

    |

  8. Solve:x(x+y+z)=6, y(x+y+z)=12,z(x+y+z)=18

    Text Solution

    |

  9. The area of a rectangular plot is 528m^2. The length of the plot is on...

    Text Solution

    |

  10. IF x^2-4x+3=0,x^2-5x+k=0 have a common root, then k

    Text Solution

    |

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

    Text Solution

    |

  12. IF the sum of the roots of ax^2+bx+c=0 is equal to the sum of the squa...

    Text Solution

    |

  13. IF alpha^2=5alpha-6,beta^2=5beta-6, alpha ne beta then the equation wh...

    Text Solution

    |

  14. sqrt(a+sqrt(a+sqrt(a+......infty)))=........

    Text Solution

    |

  15. If the sum of a number and its reciprocal is 17/4, then that number is...

    Text Solution

    |

  16. IF 3 is one root of x^2+kx-24=0 then k=……….

    Text Solution

    |

  17. IF the roots of kx^2+x(k-1)+(k-1)=0 are equal, then k=……….

    Text Solution

    |

  18. The roots of 2x^2-3x+5=0 are

    Text Solution

    |

  19. The condition that the roots of ax^2+bx+c=0 may be in the ratio m:n is...

    Text Solution

    |

  20. The equation whose roots are greater by 1 than those of 2x^2+3x+5=0.

    Text Solution

    |