Home
Class 11
MATHS
If alphaand beta(alphaltbeta) are the ro...

If `alpha`and `beta(alphaltbeta)` are the roots of the equation `x^2+bx+c`=0,where`(clt0ltb)`, then

A

`0ltalphaltbeta`

B

`alphalt0ltbetaltabsalpha`

C

`alphaltbetalt0`

D

`alphalt0ltabsalphaltbeta`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATION

    PATHFINDER|Exercise QUESTION BANK|19 Videos

  • RECTANGULAR CO-ORDINATES

    PATHFINDER|Exercise QUESTION BANK|27 Videos

Similar Questions

Explore conceptually related problems

If alpha and beta are the roots of the equation ax^2+bx+c=0 ,a ne 0,a,b,c in R then (1+alpha+alpha^2)(1+beta+beta^2) =

If alpha,beta are the roots of the quadratic equation ax^(2)+bx+c=0and3b^(2)=16ac then-

If alpha,beta are the roots of the quadratic equation ax^2+bx+c=0 and 3b^2=16ac then

If alpha and beta are the roots of the equation ax^(2)+bx+c=0 , then show that underset(xrarralpha)"lim"(1-cos(ax^(2)+bx+c))/((x-alpha)^(2))=(a^(2))/(2)(alpha-beta)^(2)

If alpha and beta are the roots of the equation ax^(2)+bx+c=0 then the sum of the roots of the equation a^(2)x^(2)+(b^(2)-2ac)x+b^(2)-4ac=0 is

If alpha, beta are the roots of the quadratic equation ax^(2)+bx+c=0 and 3b^(2)=16 ac then

Let a,b,c be real numbers with ane0 and let alpha,beta be the roots of the equation ax^2+bx+c=0 . Express the roots of a^3x^2+abcx+c^3=0 in terms of alpha,beta .

Let a,b,c be real numbers with ane0 and let alpha,beta be the roots of the equation ax^2+bx+c=0 . Express the roots of a^2cx^2+(b^3-3abc)x+ac^2=0 in terms of alpha,beta .

If alpha and beta are the roots of the equation x^2 + x + 1=0 , then me equation whose roots are alpha^(19) and beta^(7) is:

PATHFINDER-QUADRATIC EQUATION AND EXPRESSION-QUESTION BANK
  1. If e^(cos x)-e^(-cos x) =4, then the value of the cosx is

    Text Solution

    |

  2. If altbltcltd, then the roots of equation (x-a)(x-c)+2(x-b)(x-d)=0, ar...

    Text Solution

    |

  3. If alphaand beta(alphaltbeta) are the roots of the equation x^2+bx+c=0...

    Text Solution

    |

  4. If tan of angles A,B,C are the solutions of the equations tan^3x+3ktan...

    Text Solution

    |

  5. The number of solutions of the equation sin(e^x)=5^x+5^(-x)is

    Text Solution

    |

  6. If p(x) be a polynomial satisfying the identity p(x^2)+2x^2+10x=2xp(x+...

    Text Solution

    |

  7. Ifbgta, then the equation (x-a)(x-b)-1=0, has

    Text Solution

    |

  8. The value of alpha and beta such that equation x^2+2x+2+e^a-sinbeta=0 ...

    Text Solution

    |

  9. The values of 'a' for which x^2+ax+sin^-1(x^2-4x+5)+cos^-1(x^2-4x+5)=...

    Text Solution

    |

  10. The number of real solution to the equation -x^2+x-1=sin^(2)x

    Text Solution

    |

  11. If 1,2,3 and 4 are the roots of the equation x^4+ax^3+bx^2+cx+d=0 then...

    Text Solution

    |

  12. The smallest positive x satisfying logsin x cos x+log(cos x) (sin x)=2...

    Text Solution

    |

  13. The set of values of 'a' for which x^2-ax+sin^-1(sin4)gt0 forallx in R...

    Text Solution

    |

  14. If (a^3(x-b)(x-c)(x-d))/((a-b)(a-c)(a-d))+(b^3(x-c)(x-d)(x-a))/((b-c)(...

    Text Solution

    |

  15. Let f(x)=x^3+3x^2+6x+2sinx, then the equation 1/(x-f(1))+2/(x-f(2))+3/...

    Text Solution

    |

  16. Integral value of x for, which (5x-1)lt(x+1)^2lt7x-3

    Text Solution

    |

  17. If exp{(sin^2 x+sin^4 x+sin^6 x+...)In2} satisfies the quadratic equat...

    Text Solution

    |

  18. The number of values of the triple (a,b,c) for which a coss 2x+bsin^2 ...

    Text Solution

    |

  19. The sum of the real roots of the equationabs(x)^2+absx-6=0 is

    Text Solution

    |

  20. If blt0, then the roots x1 and x2 of the equation 2x^2+6x+b=0, satisfy...

    Text Solution

    |