Home
Class 10
MATHS
If the roots ax^(2)+bx+c=0 are both nega...

If the roots `ax^(2)+bx+c=0` are both negative and `b lt 0`, then

A

C=0

B

`c lt 9`

C

`c lt 0`

D

`C gt 0`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • POLYNOMIALS

    VGS PUBLICATION-BRILLIANT|Exercise Creative Bits for CCE Model Examination|119 Videos
  • PAIR OF LINEAR EQUATIONS IN TWO VARIABLES

    VGS PUBLICATION-BRILLIANT|Exercise EXERCISE|262 Videos
  • PROBABILITY

    VGS PUBLICATION-BRILLIANT|Exercise EXERCISE|220 Videos

Similar Questions

Explore conceptually related problems

IF the roots of ax^2 +bx +c=0 are both negative and b < 0 then

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.

IF the roots of ax^2+bx +c=0 are equal in magnitude but opposite in sign then

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

Assertion (A) : If 3 + iy is a root of x^(2) + ax + b = 0 then a = -6 Reason (R) : If a, b , c are real and Delta lt 0 the roots of ax^(2) + bx + c = 0 are conjugate complex numbers

If alpha, beta are the roots of ax^(2) + bx + c = 0 then the equation with roots (1)/(aalpha+b), (1)/(abeta+b) is

VGS PUBLICATION-BRILLIANT-POLYNOMIALS-EXERCISE
  1. If one zero of the quadratic polynomial x^(2) - 5x -6 is 6, then the o...

    Text Solution

    |

  2. If alpha and beta are the zeros of the polynomial f(x) = x^(2) + px + ...

    Text Solution

    |

  3. If the roots ax^(2)+bx+c=0 are both negative and b lt 0, then

    Text Solution

    |

  4. If alpha, beta, gamma are the zeros of the polynomial f(x) = ax^(3) + ...

    Text Solution

    |

  5. If the product of the zeros of the polynomial f(x)= ax^3-6x^2+11x-6 is...

    Text Solution

    |

  6. If alpha, beta are the zeros of the polynomial f(x) = ax^(2) + bx + c ...

    Text Solution

    |

  7. If one zero of the polynomial f(x) = 5x^(2) + 13x + k is reciprocal of...

    Text Solution

    |

  8. If alpha, beta are the zeros of polynomial f(x) = x^(2) - p(x+1)-c the...

    Text Solution

    |

  9. If the sum of the zeros of the polynomial f(x) = 2x^(3) - 3 kx^(2) + 4...

    Text Solution

    |

  10. If alpha, beta, gamma are the zeros of the polynomial f(x) = ax^(3) + ...

    Text Solution

    |

  11. If the polynomial f(x) = ax^(3) + bx - c is divisible by the polynomi...

    Text Solution

    |

  12. The product of the zeros of x^(3) + 4x^(2) + x - 6 is ………….

    Text Solution

    |

  13. A quadratic polynomial , the sum of whose zeroes of 0 and one zero is ...

    Text Solution

    |

  14. If sqrt(5) and -sqrt(5) are two zeros of the polynomial x^(3) + 3x^(2)...

    Text Solution

    |

  15. If alpha, beta , gamma are the zeros of the polynomial x^(3) - px^(2) ...

    Text Solution

    |

  16. If x+ 2 is a factor of x^(2) + ax + 2b and a+b = 4 then a = …………..

    Text Solution

    |

  17. In the above problem y = ......

    Text Solution

    |

  18. If one zero of the polynomial f(x) = (k^(2)+4)x^(2) + 13 x + 4k is rec...

    Text Solution

    |

  19. If two zeros of x^(3) + x^(2) - 5x -5 are sqrt(5) and -sqrt(5) then it...

    Text Solution

    |

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

    Text Solution

    |